Question 1

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

Accepted Answer

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

Question 2

Choose the number that is a solution of the inequality.
-a $- 5 < - 8$

Accepted Answer

A)  $- 4$ 
B)  1 
C)  4 
D)  $- 1$ 
A)  $- 4$ 
B)  1 
C)  4 
D)  $- 1$

Question 3

Solve.
-$$\frac { 5 } { 3 } ( 5 x - 3 ) > 35$$

Accepted Answer

A)  $\left( \infty , \frac { 24 } { 5 } \right)$ 
B)  $\left( \infty , \frac { 18 } { 5 } \right)$ 
C)  $\left( \frac { 18 } { 5 } , \infty \right)$ 
D)  $\left( \frac { 24 } { 5 } , \infty \right)$ 
A)  $\left( \infty , \frac { 24 } { 5 } \right)$ 
B)  $\left( \infty , \frac { 18 } { 5 } \right)$ 
C)  $\left( \frac { 18 } { 5 } , \infty \right)$ 
D)  $\left( \frac { 24 } { 5 } , \infty \right)$

Question 4

Solve.
-Company A rents copiers for a monthly charge of $\$ 160$ plus 8 cents per copy. Company B rents copiers for a monthly charge of $\$ 320$ plus 4 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

Accepted Answer

A)  4100 copies 
B)  2000 copies 
C)  8000 copies 
D)  4000 copies 
A)  4100 copies 
B)  2000 copies 
C)  8000 copies 
D)  4000 copies

Question 5

Write interval notation.
-$\{ x \mid x < 2 \}$

Accepted Answer

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

Question 6

Choose the number that is a solution of the inequality.
-$- 3 n - 3 \leq - 4 n + 2$

Accepted Answer

A)  7 
B)  6 
C)  8 
D)  5 
A)  7 
B)  6 
C)  8 
D)  5

Question 7

Solve.
-$$\frac { 1 } { 2 } ( x + 2 ) > \frac { 1 } { 6 } ( 5 x + 4 )$$

Accepted Answer

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

Question 8

Graph and write interval notation.
-$x  - 1$

Accepted Answer

A)  $( - 1,3 )$
  
B)  $[ - 1,3 )$
  
C)  $[ - 1,3 ]$
  
D)  $( - 1,3 ]$
  
A)  $( - 1,3 )$
  
B)  $[ - 1,3 )$
  
C)  $[ - 1,3 ]$
  
D)  $( - 1,3 ]$

Question 9

Find the indicated intersection or union.
-$\{ 1,8,14,18 \} \cup \{ 8,18,24,30 \}$

Accepted Answer

A)  $\{ 8,18,24 \}$ 
B)  $\{ 1,8,14,18,24,30 \}$ 
C)  $\{ 1,8,18,24 \}$ 
D)  $\{ 8,18 \}$ 
A)  $\{ 8,18,24 \}$ 
B)  $\{ 1,8,14,18,24,30 \}$ 
C)  $\{ 1,8,18,24 \}$ 
D)  $\{ 8,18 \}$

Question 10

Solve.
-$6 < 2 x \leq 12$

Accepted Answer

A)  $[ - 3 , - 6 )$ 
B)  $( 3,6 ]$ 
C)  $[ 3,6 )$ 
D)  $( - 3 , - 6 ]$ 
A)  $[ - 3 , - 6 )$ 
B)  $( 3,6 ]$ 
C)  $[ 3,6 )$ 
D)  $( - 3 , - 6 ]$

Question 11

Solve and graph. Write the result in interval notation.
-$a + 10 > 9$

Accepted Answer

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

Question 12

Solve.
-$$\frac { 1 } { 6 } ( 12 x + 66 ) - 19 > - \frac { 1 } { 4 } ( 8 x - 32 )$$

Accepted Answer

A)  $( \infty , 4 ]$ 
B)  $[ 0 , \infty )$ 
C)  $[ 4 , \infty )$ 
D)  $( \infty , 0 ]$ 
A)  $( \infty , 4 ]$ 
B)  $[ 0 , \infty )$ 
C)  $[ 4 , \infty )$ 
D)  $( \infty , 0 ]$

Question 13

Solve.
-$$3 ( 3 x + 1 ) < 5 - 5 ( 3 x - 3 )$$

Accepted Answer

A)  $\left( \frac { 17 } { 24 } , \infty \right)$ 
B)  $\left(\infty \frac{5}{24}\right)$ 
C)  $\left[ - \frac { 5 } { 24 } , \infty \right)$ 
D) $\left(\infty, \frac{17}{24}\right)$. 
A)  $\left( \frac { 17 } { 24 } , \infty \right)$ 
B)  $\left(\infty \frac{5}{24}\right)$ 
C)  $\left[ - \frac { 5 } { 24 } , \infty \right)$ 
D) $\left(\infty, \frac{17}{24}\right)$.

Question 14

Solve.
-$$- 7 < \frac { 5 x - 8 } { 4 } \leq - 4$$

Accepted Answer

A)  $\left( - 4 , - \frac { 8 } { 5 } \right]$ 
B)  $\left[ - 4 , - \frac { 8 } { 5 } \right]$ 
C)  $\left[ - 4 , \frac { 24 } { 5 } \right]$ 
D)  $\left( - 4 , \frac { 24 } { 5 } \right]$ 
A)  $\left( - 4 , - \frac { 8 } { 5 } \right]$ 
B)  $\left[ - 4 , - \frac { 8 } { 5 } \right]$ 
C)  $\left[ - 4 , \frac { 24 } { 5 } \right]$ 
D)  $\left( - 4 , \frac { 24 } { 5 } \right]$

Question 15

Graph and write interval notation.
-$x \leq 2$ and $x \geq - 2$

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 16

Solve.
-$- 14 \leq - 3 c + 1 < - 8$

Accepted Answer

A)  $( - 5 , - 3 ]$ 
B)  $( 3,5 ]$ 
C)  $[ 3,5 )$ 
D)  $[ - 5 , - 3 )$ 
A)  $( - 5 , - 3 ]$ 
B)  $( 3,5 ]$ 
C)  $[ 3,5 )$ 
D)  $[ - 5 , - 3 )$

Question 17

Write interval notation for the graph.
-

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 18

Solve and graph.
-$4 x > 4$ and $x + 5 < 5$

Accepted Answer

A)  $( - 1 , \infty )$
  
B)  $( 0,1 )$
  
C)  $\varnothing$ 
D)  $( - 1,0 )$
  
A)  $( - 1 , \infty )$
  
B)  $( 0,1 )$
  
C)  $\varnothing$ 
D)  $( - 1,0 )$

Question 19

Solve and graph.
-$6 x + 3 \geq - 3$ and $9 x - 4 \geq 14$

Accepted Answer

A)  $[ - 1 , \infty )$
  
B)  $( - \infty , - 1 ] \cup [ 2 , \infty )$
  
C)  $[ - 1,2 ]$
  
D)  $[ 2 , \infty )$
  
A)  $[ - 1 , \infty )$
  
B)  $( - \infty , - 1 ] \cup [ 2 , \infty )$
  
C)  $[ - 1,2 ]$
  
D)  $[ 2 , \infty )$

Question 20

Solve and graph.
-$x > 4 \text { or } x < 4$

Accepted Answer

A)  $( 4 , \infty )$
  
B)  $( - \infty , 4 )$
  
C)  $\{ 4 \}$
  
D)  $( - \infty , 4 ) \cup ( 4 , \infty )$
  
A)  $( 4 , \infty )$
  
B)  $( - \infty , 4 )$
  
C)  $\{ 4 \}$
  
D)  $( - \infty , 4 ) \cup ( 4 , \infty )$

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

Choose the number that is a solution of the inequality. -a $- 5 < - 8$

Solve. - $\frac { 5 } { 3 } ( 5 x - 3 ) > 35$

Solve. -Company A rents copiers for a monthly charge of $\$ 160$ plus 8 cents per copy. Company B rents copiers for a monthly charge of $\$ 320$ plus 4 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

Write interval notation. - $\{ x \mid x < 2 \}$

Choose the number that is a solution of the inequality. - $- 3 n - 3 \leq - 4 n + 2$

Solve. - $\frac { 1 } { 2 } ( x + 2 ) > \frac { 1 } { 6 } ( 5 x + 4 )$

Graph and write interval notation. - $x < 3 \text { and } x > - 1$ $Graph and write interval notation. - x < 3 \text { and } x > - 1$

Find the indicated intersection or union. - $\{ 1,8,14,18 \} \cup \{ 8,18,24,30 \}$

Solve. - $6 < 2 x \leq 12$

Solve and graph. Write the result in interval notation. - $a + 10 > 9$

Solve. - $\frac { 1 } { 6 } ( 12 x + 66 ) - 19 > - \frac { 1 } { 4 } ( 8 x - 32 )$

Solve. - $3 ( 3 x + 1 ) < 5 - 5 ( 3 x - 3 )$

Solve. - $- 7 < \frac { 5 x - 8 } { 4 } \leq - 4$

Graph and write interval notation. - $x \leq 2$ and $x \geq - 2$ $Graph and write interval notation. - x \leq 2 and x \geq - 2$

Solve. - $- 14 \leq - 3 c + 1 < - 8$

Write interval notation for the graph. -

Solve and graph. - $4 x > 4$ and $x + 5 < 5$

Solve and graph. - $6 x + 3 \geq - 3$ and $9 x - 4 \geq 14$ $Solve and graph. - 6 x + 3 \geq - 3 and 9 x - 4 \geq 14$

Solve and graph. - $x > 4 \text { or } x < 4$ $Solve and graph. - x > 4 \text { or } x < 4$

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

Find the indicated intersection or union. - {q,s,u,v,w,x}∪∅\{ q , s , u , v , w , x \} \cup \varnothing{q,s,u,v,w,x}∪∅

Choose the number that is a solution of the inequality. -a −5<−8- 5 < - 8−5<−8

Solve. - 53(5x−3)>35\frac { 5 } { 3 } ( 5 x - 3 ) > 3535​(5x−3)>35

Solve. -Company A rents copiers for a monthly charge of $160\$ 160$160 plus 8 cents per copy. Company B rents copiers for a monthly charge of $320\$ 320$320 plus 4 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

Write interval notation. - {x∣x<2}\{ x \mid x < 2 \}{x∣x<2}

Choose the number that is a solution of the inequality. - −3n−3≤−4n+2- 3 n - 3 \leq - 4 n + 2−3n−3≤−4n+2

Solve. - 12(x+2)>16(5x+4)\frac { 1 } { 2 } ( x + 2 ) > \frac { 1 } { 6 } ( 5 x + 4 )21​(x+2)>61​(5x+4)

Graph and write interval notation. - x<3 and x>−1x < 3 \text { and } x > - 1x<3 and x>−1

Find the indicated intersection or union. - {1,8,14,18}∪{8,18,24,30}\{ 1,8,14,18 \} \cup \{ 8,18,24,30 \}{1,8,14,18}∪{8,18,24,30}

Solve. - 6<2x≤126 < 2 x \leq 126<2x≤12

Solve and graph. Write the result in interval notation. - a+10>9a + 10 > 9a+10>9

Solve. - 16(12x+66)−19>−14(8x−32)\frac { 1 } { 6 } ( 12 x + 66 ) - 19 > - \frac { 1 } { 4 } ( 8 x - 32 )61​(12x+66)−19>−41​(8x−32)

Solve. - 3(3x+1)<5−5(3x−3)3 ( 3 x + 1 ) < 5 - 5 ( 3 x - 3 )3(3x+1)<5−5(3x−3)

Solve. - −7<5x−84≤−4- 7 < \frac { 5 x - 8 } { 4 } \leq - 4−7<45x−8​≤−4

Graph and write interval notation. - x≤2x \leq 2x≤2 and x≥−2x \geq - 2x≥−2

Solve. - −14≤−3c+1<−8- 14 \leq - 3 c + 1 < - 8−14≤−3c+1<−8