Question 1

Solve and graph.
-$x \leq 2 \text { or } x \geq 6$

Accepted Answer

A)  $( - 2,6 )$
  
B)  $( - \infty , 2 ] \cup [ 6 , \infty )$
  
C)  $( 2,6 )$
  
D)  $[ - 6 , - 2 ]$
  
A)  $( - 2,6 )$
  
B)  $( - \infty , 2 ] \cup [ 6 , \infty )$
  
C)  $( 2,6 )$
  
D)  $[ - 6 , - 2 ]$

Question 2

Write interval notation.
-$\{ x \mid x \geq \}$

Accepted Answer

A)  $( - \infty , 5 )$ 
B)  $( 5 , \infty )$ 
C)  $( - \infty , 5 ]$ 
D)  $[ 5 , \infty )$ 
A)  $( - \infty , 5 )$ 
B)  $( 5 , \infty )$ 
C)  $( - \infty , 5 ]$ 
D)  $[ 5 , \infty )$

Question 3

Solve.
-$$- 4 ( 2 x + 1 ) \geq 3 [ 3 x - 2 ( x + 1 ) ]$$

Accepted Answer

A)  $\left[ - \infty , - \frac { 2 } { 11 } \right]$ 
B)  $\left[ \frac { 2 } { 11 } , \infty \right)$ 
C)  $\left[ - \infty , \frac { 2 } { 11 } \right]$ 
D)  $( - \infty , - 2 ]$ 
A)  $\left[ - \infty , - \frac { 2 } { 11 } \right]$ 
B)  $\left[ \frac { 2 } { 11 } , \infty \right)$ 
C)  $\left[ - \infty , \frac { 2 } { 11 } \right]$ 
D)  $( - \infty , - 2 ]$

Question 4

Choose the number that is a solution of the inequality.
-$f - 12 < - 4$

Accepted Answer

A)  10 
B)  7 
C)  8 
D)  11 
A)  10 
B)  7 
C)  8 
D)  11

Question 5

Write interval notation for the graph.
-

Accepted Answer

A)  $[ 2,6 ]$ 
B)  $[ 2,6 )$ 
C)  $( 2,6 )$ 
D)  $( 2,6 ]$ 
A)  $[ 2,6 ]$ 
B)  $[ 2,6 )$ 
C)  $( 2,6 )$ 
D)  $( 2,6 ]$

Question 6

Solve.
-$- 6 < x + 9 < 5$

Accepted Answer

A)  $( 3,14 )$ 
B)  $( - 15,14 )$ 
C)  $( - 15 , - 4 )$ 
D)  $( - 14 , - 3 )$ 
A)  $( 3,14 )$ 
B)  $( - 15,14 )$ 
C)  $( - 15 , - 4 )$ 
D)  $( - 14 , - 3 )$

Question 7

Solve and graph.
-$- 15 < 7 x - 1$ and $5 x - 9 < 1$

Accepted Answer

A)  $( - 2,2 ]$
  
B)  $[ - 2,2 ]$
  
C)  $( - 2,2 )$
  
D)  $[ - 2,2 )$
  
A)  $( - 2,2 ]$
  
B)  $[ - 2,2 ]$
  
C)  $( - 2,2 )$
  
D)  $[ - 2,2 )$

Question 8

Solve and graph. Write the result in interval notation.
-$9 x < - 54$

Accepted Answer

A)  $( - \infty , - 6 ]$
  
B)  $( - \infty , - 6 )$
  
C)  $( - 6 , \infty )$
  
D)  $[ - 6 , \infty )$
  
A)  $( - \infty , - 6 ]$
  
B)  $( - \infty , - 6 )$
  
C)  $( - 6 , \infty )$
  
D)  $[ - 6 , \infty )$

Question 9

Solve.
-$$0.2 ( 4 x - 3 ) < 1.2 - ( x + 2 )$$

Accepted Answer

A)  $\left( \infty , - \frac { 1 } { 9 } \right)$ 
B)  $\left( \frac { 19 } { 9 } , \infty \right)$ 
C) $\left( \infty , \frac { 19 } { 9 } \right)$ 
D)  $\left( - \frac { 1 } { 9 } , \infty \right)$ 
A)  $\left( \infty , - \frac { 1 } { 9 } \right)$ 
B)  $\left( \frac { 19 } { 9 } , \infty \right)$ 
C) $\left( \infty , \frac { 19 } { 9 } \right)$ 
D)  $\left( - \frac { 1 } { 9 } , \infty \right)$

Question 10

Solve.
-$$- \frac { 2 } { 3 } < \frac { 1 } { 9 } x - 3 \leq \frac { 2 } { 3 }$$

Accepted Answer

A)  $[ - 3,3 )$ 
B)  $( - 3,9 ]$ 
C)  $( - 33 , - 21 ]$ 
D)  $( 21,33 ]$ 
A)  $[ - 3,3 )$ 
B)  $( - 3,9 ]$ 
C)  $( - 33 , - 21 ]$ 
D)  $( 21,33 ]$

Question 11

Find the indicated intersection or union.
-$\{ q , s , u , v , w , x , y , z \} \cap \{ q , s , y , z \}$

Accepted Answer

A)  $\{ q , s , u , v , w , y \}$ 
B)  $\{ s , u , v , w , x , z \}$ 
C)  $\{ v , x \}$ 
D)  $\{ q , s , y , z \}$ 
A)  $\{ q , s , u , v , w , y \}$ 
B)  $\{ s , u , v , w , x , z \}$ 
C)  $\{ v , x \}$ 
D)  $\{ q , s , y , z \}$

Question 12

Solve the compound inequality. Express the solution using interval notation. Graph the solution set.
-$x > 5$ or $x < 5$

Accepted Answer

A)  $( 5 , \infty )$
  
B) $(-\infty, 5) \cup(5, \infty)$
  
C)  $( - \infty , 5 )$
  
D)  $( 5,5 )$
  
A)  $( 5 , \infty )$
  
B) $(-\infty, 5) \cup(5, \infty)$
  
C)  $( - \infty , 5 )$
  
D)  $( 5,5 )$

Question 13

Solve.
-Jon has 1155 points in his math class. He must have $86 \%$ of the 1500 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

Accepted Answer

A)  345 points 
B)  135 points 
C)  993 points 
D)  1290 points 
A)  345 points 
B)  135 points 
C)  993 points 
D)  1290 points

Question 14

Write interval notation for the graph.
-

Accepted Answer

A)  $( 1 , - \infty )$ 
B)  $( - \infty , 1 ]$ 
C)  $[ 1 , \infty )$ 
D)  $( - \infty , 1 )$ 
A)  $( 1 , - \infty )$ 
B)  $( - \infty , 1 ]$ 
C)  $[ 1 , \infty )$ 
D)  $( - \infty , 1 )$

Question 15

Find the indicated intersection or union.
-$\{ v , w , x , y , z \} \cup \{ q , s , y , z \}$

Accepted Answer

A)  $\{ q , s , u , v , w , x , y \}$ 
B)  $\{ \mathrm { s } , \mathrm { u } , \mathrm { w } \}$ 
C)  $\{ q , s , v , w , x , y , z \}$ 
D)  $\{ s , u , v , w , x , z \}$ 
A)  $\{ q , s , u , v , w , x , y \}$ 
B)  $\{ \mathrm { s } , \mathrm { u } , \mathrm { w } \}$ 
C)  $\{ q , s , v , w , x , y , z \}$ 
D)  $\{ s , u , v , w , x , z \}$

Question 16

Solve and graph. Write the result in interval notation.
-$f - 4 < 8$

Accepted Answer

A)  $( - \infty , 12 )$
  
B)  $( - \infty , 12 ]$
  
C)  $( 12 , \infty )$
  
D)  $[ 12 , \infty )$
  
A)  $( - \infty , 12 )$
  
B)  $( - \infty , 12 ]$
  
C)  $( 12 , \infty )$
  
D)  $[ 12 , \infty )$

Question 17

Solve.
-$$2 \leq \frac { 7 } { 3 } x - 5 < 23$$

Accepted Answer

A)  $[ 3,4 )$ 
B)  $( 3,12 ]$ 
C)  $[ 3,12 )$ 
D)  $( 3,4 ]$ 
A)  $[ 3,4 )$ 
B)  $( 3,12 ]$ 
C)  $[ 3,12 )$ 
D)  $( 3,4 ]$

Question 18

Solve and graph.
-$22 \leq 8 x - 2$ and $5 x - 7 < 28$

Accepted Answer

A)  $( 3,7 ]$
  
B)  $[ 3,7 )$
  
C)  $( 3,7 )$
  
D)  $[ 3,7 ]$
  
A)  $( 3,7 ]$
  
B)  $[ 3,7 )$
  
C)  $( 3,7 )$
  
D)  $[ 3,7 ]$

Question 19

Solve.
-In order for a chemical reaction to take place, the Fahrenheit temperature F of the reagents must be at least $184.81 ^ { \circ } \mathrm { F }$. At what Celsius temperatures $\mathrm { C }$ will the reaction occur? $\left( \mathrm { F } = \frac { 9 } { 5 } \mathrm { C } + 32 \right)$

Accepted Answer

A)  $\left\{ C \mid C \geq 364.66 ^ { \circ } \right\}$ 
B)  $\left\{ \mathrm { C } \mid \mathrm { C } \leq 84.89 ^ { \circ } \right\}$ 
C)  $\left\{ \mathrm { Cl } \mathrm { C } \geq 84.89 ^ { \circ } \right\}$ 
D)  $\left\{ \mathrm { C } \mid \mathrm { C } < 364.66 ^ { \circ } \right\}$ 
A)  $\left\{ C \mid C \geq 364.66 ^ { \circ } \right\}$ 
B)  $\left\{ \mathrm { C } \mid \mathrm { C } \leq 84.89 ^ { \circ } \right\}$ 
C)  $\left\{ \mathrm { Cl } \mathrm { C } \geq 84.89 ^ { \circ } \right\}$ 
D)  $\left\{ \mathrm { C } \mid \mathrm { C } < 364.66 ^ { \circ } \right\}$

Question 20

Solve.
-$- 9 < \frac { 2 - 10 x } { 8 } \leq 4$

Accepted Answer

A)   $\left[ -3 , \frac { 37 } { 5 } \right)$ 
B)  $\left[ 3 , \frac { 37 } { 5 } \right)$ 
C)  $\left[ - 3 , \frac { 37 } { 5 } \right]$ 
D)  $\left( 3 , \frac { 37 } { 5 } \right)$ 
A)   $\left[ -3 , \frac { 37 } { 5 } \right)$ 
B)  $\left[ 3 , \frac { 37 } { 5 } \right)$ 
C)  $\left[ - 3 , \frac { 37 } { 5 } \right]$ 
D)  $\left( 3 , \frac { 37 } { 5 } \right)$

Solve and graph. - $x \leq 2 \text { or } x \geq 6$ $Solve and graph. - x \leq 2 \text { or } x \geq 6$

Write interval notation. - $\{ x \mid x \geq \}$

Solve. - $- 4 ( 2 x + 1 ) \geq 3 [ 3 x - 2 ( x + 1 ) ]$

Choose the number that is a solution of the inequality. - $f - 12 < - 4$

Write interval notation for the graph. -

Solve. - $- 6 < x + 9 < 5$

Solve and graph. - $- 15 < 7 x - 1$ and $5 x - 9 < 1$

Solve and graph. Write the result in interval notation. - $9 x < - 54$

Solve. - $0.2 ( 4 x - 3 ) < 1.2 - ( x + 2 )$

Solve. - $- \frac { 2 } { 3 } < \frac { 1 } { 9 } x - 3 \leq \frac { 2 } { 3 }$

Find the indicated intersection or union. - $\{ q , s , u , v , w , x , y , z \} \cap \{ q , s , y , z \}$

Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - $x > 5$ or $x < 5$

Solve. -Jon has 1155 points in his math class. He must have $86 \%$ of the 1500 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

Write interval notation for the graph. -

Find the indicated intersection or union. - $\{ v , w , x , y , z \} \cup \{ q , s , y , z \}$

Solve and graph. Write the result in interval notation. - $f - 4 < 8$

Solve. - $2 \leq \frac { 7 } { 3 } x - 5 < 23$

Solve and graph. - $22 \leq 8 x - 2$ and $5 x - 7 < 28$ $Solve and graph. - 22 \leq 8 x - 2 and 5 x - 7 < 28$

Solve. -In order for a chemical reaction to take place, the Fahrenheit temperature F of the reagents must be at least $184.81 ^ { \circ } \mathrm { F }$ . At what Celsius temperatures $\mathrm { C }$ will the reaction occur? $\left( \mathrm { F } = \frac { 9 } { 5 } \mathrm { C } + 32 \right)$

Solve. - $- 9 < \frac { 2 - 10 x } { 8 } \leq 4$

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Finding Measures of Central Tendency for Prices and Heights

Filters

Exam 9: More on Inequalities

Solve and graph. - x≤2 or x≥6x \leq 2 \text { or } x \geq 6x≤2 or x≥6

Write interval notation. - {x∣x≥}\{ x \mid x \geq \}{x∣x≥}

Solve. - −4(2x+1)≥3[3x−2(x+1)]- 4 ( 2 x + 1 ) \geq 3 [ 3 x - 2 ( x + 1 ) ]−4(2x+1)≥3[3x−2(x+1)]

Choose the number that is a solution of the inequality. - f−12<−4f - 12 < - 4f−12<−4

Write interval notation for the graph. -

Solve. - −6<x+9<5- 6 < x + 9 < 5−6<x+9<5

Solve and graph. - −15<7x−1- 15 < 7 x - 1−15<7x−1 and 5x−9<15 x - 9 < 15x−9<1

Solve and graph. Write the result in interval notation. - 9x<−549 x < - 549x<−54

Solve. - 0.2(4x−3)<1.2−(x+2)0.2 ( 4 x - 3 ) < 1.2 - ( x + 2 )0.2(4x−3)<1.2−(x+2)

Solve. - −23<19x−3≤23- \frac { 2 } { 3 } < \frac { 1 } { 9 } x - 3 \leq \frac { 2 } { 3 }−32​<91​x−3≤32​

Find the indicated intersection or union. - {q,s,u,v,w,x,y,z}∩{q,s,y,z}\{ q , s , u , v , w , x , y , z \} \cap \{ q , s , y , z \}{q,s,u,v,w,x,y,z}∩{q,s,y,z}

Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - x>5x > 5x>5 or x<5x < 5x<5

Solve. -Jon has 1155 points in his math class. He must have 86%86 \%86% of the 1500 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

Write interval notation for the graph. -

Find the indicated intersection or union. - {v,w,x,y,z}∪{q,s,y,z}\{ v , w , x , y , z \} \cup \{ q , s , y , z \}{v,w,x,y,z}∪{q,s,y,z}

Solve and graph. Write the result in interval notation. - f−4<8f - 4 < 8f−4<8

Solve. - 2≤73x−5<232 \leq \frac { 7 } { 3 } x - 5 < 232≤37​x−5<23

Solve and graph. - 22≤8x−222 \leq 8 x - 222≤8x−2 and 5x−7<285 x - 7 < 285x−7<28

Solve. - −9<2−10x8≤4- 9 < \frac { 2 - 10 x } { 8 } \leq 4−9<82−10x​≤4

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Finding Measures of Central Tendency for Prices and Heights

Filters

Solve and graph. - $x \leq 2 \text { or } x \geq 6$ $Solve and graph. - x \leq 2 \text { or } x \geq 6$

Write interval notation. - $\{ x \mid x \geq \}$

Solve. - $- 4 ( 2 x + 1 ) \geq 3 [ 3 x - 2 ( x + 1 ) ]$

Choose the number that is a solution of the inequality. - $f - 12 < - 4$

Solve. - $- 6 < x + 9 < 5$

Solve and graph. - $- 15 < 7 x - 1$ and $5 x - 9 < 1$

Solve and graph. Write the result in interval notation. - $9 x < - 54$

Solve. - $0.2 ( 4 x - 3 ) < 1.2 - ( x + 2 )$

Solve. - $- \frac { 2 } { 3 } < \frac { 1 } { 9 } x - 3 \leq \frac { 2 } { 3 }$

Find the indicated intersection or union. - $\{ q , s , u , v , w , x , y , z \} \cap \{ q , s , y , z \}$

Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - $x > 5$ or $x < 5$

Solve. -Jon has 1155 points in his math class. He must have $86 \%$ of the 1500 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

Find the indicated intersection or union. - $\{ v , w , x , y , z \} \cup \{ q , s , y , z \}$

Solve and graph. Write the result in interval notation. - $f - 4 < 8$

Solve. - $2 \leq \frac { 7 } { 3 } x - 5 < 23$

Solve and graph. - $22 \leq 8 x - 2$ and $5 x - 7 < 28$ $Solve and graph. - 22 \leq 8 x - 2 and 5 x - 7 < 28$

Solve. - $- 9 < \frac { 2 - 10 x } { 8 } \leq 4$