Question 1

Solve.
-$$- 8 x - ( 4 x + 5 ) > 3 - ( 2 x + 9 )$$

Accepted Answer

A)  $\left( \frac { 1 } { 10 } , \infty \right)$ 
B)  $\left( \infty , - \frac { 7 } { 2 } \right)$ 
C)  $\left( \pi , \frac { 1 } { 10 } \right)$ 
D)  $\left( \infty , - \frac { 7 } { 10 } \right)$ 
A)  $\left( \frac { 1 } { 10 } , \infty \right)$ 
B)  $\left( \infty , - \frac { 7 } { 2 } \right)$ 
C)  $\left( \pi , \frac { 1 } { 10 } \right)$ 
D)  $\left( \infty , - \frac { 7 } { 10 } \right)$ C

Question 2

Solve.
-$7 x + 6 \geq 5 x + 2$

Accepted Answer

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

Question 3

Solve.
-A salesperson has two job offers. Company A offers a weekly salary of $\$ 360$ plus commission of $12 \%$ of sales. Company B offers a weekly salary of $\$ 720$ plus commission of $6 \%$ of sales. What is the amount of sales above which Company A's offer is the better of the two?

Accepted Answer

A)  $\$ 6100$ 
B)  $\$ 3000$ 
C)  $\$ 12,000$ 
D)  $\$ 6000$ 
A)  $\$ 6100$ 
B)  $\$ 3000$ 
C)  $\$ 12,000$ 
D)  $\$ 6000$ D

Question 4

Write interval notation for the graph.
-

Accepted Answer

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

Question 5

Graph and write interval notation.
-$x > 0 \text { and } x < 5$

Accepted Answer

A)  $[ 0,5 )$
  
B)  $[ 0,5 ]$
  
C)  $( 0,5 ]$
  
D)  $( 0,5 )$
  
A)  $[ 0,5 )$
  
B)  $[ 0,5 ]$
  
C)  $( 0,5 ]$
  
D)  $( 0,5 )$

Question 6

Solve the compound inequality. Express the solution using interval notation. Graph the solution set.
-$x \leq 3 \text { or } x \geq 6$

Accepted Answer

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

Question 7

Solve.
-$$4 ( 3 x + 3 ) - 38 \leq 6 x - 2$$

Accepted Answer

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

Question 8

Write interval notation for the graph.
-

Accepted Answer

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

Question 9

Write interval notation for the graph.
-

Accepted Answer

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

Question 10

Graph and write interval notation.
-$x \geq 2$ and $x \geq - 3$

Accepted Answer

A)  $[ 2 , \infty )$
  
B)  $( - \infty , - 3 ]$
  
C)  $( - \infty , 2 ]$
  
D)  $( 2 , \infty )$
  
A)  $[ 2 , \infty )$
  
B)  $( - \infty , - 3 ]$
  
C)  $( - \infty , 2 ]$
  
D)  $( 2 , \infty )$

Question 11

Graph and write interval notation.
-$- 6 \leq x < - 2$

Accepted Answer

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

Question 12

Find the indicated intersection or union.
-$\{ 4,9,14,16,23 \} \cap \{ 9,16,23,28 \}$

Accepted Answer

A)  $\{ 4,9,16,23 \}$ 
B)  $\{ 4,9,14,16,23,28 \}$ 
C)  $\{ 9,16,23 \}$ 
D)  $\{ 9,16,23,28 \}$ 
A)  $\{ 4,9,16,23 \}$ 
B)  $\{ 4,9,14,16,23,28 \}$ 
C)  $\{ 9,16,23 \}$ 
D)  $\{ 9,16,23,28 \}$

Question 13

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

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 14

Solve.
-$- 0.2 x \geq - 0.9$

Accepted Answer

A)  $[ 4.5 , \infty )$ 
B)  $( - \infty , 4.5 ]$ 
C)  $( - \infty , - 0.7 ]$ 
D)  $[ 0.7 , \infty )$ 
A)  $[ 4.5 , \infty )$ 
B)  $( - \infty , 4.5 ]$ 
C)  $( - \infty , - 0.7 ]$ 
D)  $[ 0.7 , \infty )$

Question 15

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

Accepted Answer

A)  $[ - 5 , - 2 ]$
  
B)  $( - \infty , - 2 ) \cup ( 5 , \infty )$
  
C)  $( - \infty , - 5 ) \cup ( 2 , \infty )$
  
D)  $( - 2,5 )$
  
A)  $[ - 5 , - 2 ]$
  
B)  $( - \infty , - 2 ) \cup ( 5 , \infty )$
  
C)  $( - \infty , - 5 ) \cup ( 2 , \infty )$
  
D)  $( - 2,5 )$

Question 16

Solve.
-$15 a - 15 > 5 ( 2 a - 9 )$

Accepted Answer

A)  $( - \infty , 15 )$ 
B)  $( - \infty , - 6 )$ 
C)  $( - 6 , \infty )$ 
D)  $( 15 , \infty )$ 
A)  $( - \infty , 15 )$ 
B)  $( - \infty , - 6 )$ 
C)  $( - 6 , \infty )$ 
D)  $( 15 , \infty )$

Question 17

Solve.
-$1.1 x + 2.9 > 0.3 x + 1.22$

Accepted Answer

A)  $( - 2.2 , \infty )$ 
B)  $( - \infty , - 2.2 )$ 
C)  $( - 2.1 , \infty )$ 
D)  $( - \infty , - 2.1 )$ 
A)  $( - 2.2 , \infty )$ 
B)  $( - \infty , - 2.2 )$ 
C)  $( - 2.1 , \infty )$ 
D)  $( - \infty , - 2.1 )$

Question 18

Solve and graph.
-$x < 1 \text { or } x < 5$

Accepted Answer

A)  $( - \infty , 5 )$
  
B)  $( - \infty , 1 ) \cup ( 5 , \infty )$
  
C)  $( 1,5 )$
  
D)  $( 1 , \infty )$
  
A)  $( - \infty , 5 )$
  
B)  $( - \infty , 1 ) \cup ( 5 , \infty )$
  
C)  $( 1,5 )$
  
D)  $( 1 , \infty )$

Question 19

Solve.
-The equation $y = 0.005 x + 0.30$ can be used to determine the profit $y$, in dollars, of producing $x$ items. How many items $x$ must be produced so the profit will be at least $\$ 1273$ ?

Accepted Answer

A)  $\{ x \mid 0 < x \leq 254,539 \}$ 
B)  $\{ x \mid x \geq 254,540 \}$ 
C)  $\{ x \mid x \geq 254,660 \}$ 
D)  $\{ x \mid x \geq 253,540 \}$ 
A)  $\{ x \mid 0 < x \leq 254,539 \}$ 
B)  $\{ x \mid x \geq 254,540 \}$ 
C)  $\{ x \mid x \geq 254,660 \}$ 
D)  $\{ x \mid x \geq 253,540 \}$

Question 20

Choose the number that is a solution of the inequality.
-$5 t + 9 \geq 4 t - 2$

Accepted Answer

A)  $- 12$ 
B)  $- 11$ 
C)  $- 14$ 
D)  $- 13$ 
A)  $- 12$ 
B)  $- 11$ 
C)  $- 14$ 
D)  $- 13$

Solve. - $- 8 x - ( 4 x + 5 ) > 3 - ( 2 x + 9 )$

Solve. - $7 x + 6 \geq 5 x + 2$

Solve. -A salesperson has two job offers. Company A offers a weekly salary of $\$ 360$ plus commission of $12 \%$ of sales. Company B offers a weekly salary of $\$ 720$ plus commission of $6 \%$ of sales. What is the amount of sales above which Company A's offer is the better of the two?

Write interval notation for the graph. -

Graph and write interval notation. - $x > 0 \text { and } x < 5$ $Graph and write interval notation. - x > 0 \text { and } x < 5$

Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - $x \leq 3 \text { or } x \geq 6$ $Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - x \leq 3 \text { or } x \geq 6$

Solve. - $4 ( 3 x + 3 ) - 38 \leq 6 x - 2$

Write interval notation for the graph. -

Write interval notation for the graph. -

Graph and write interval notation. - $x \geq 2$ and $x \geq - 3$ $Graph and write interval notation. - x \geq 2 and x \geq - 3$

Graph and write interval notation. - $- 6 \leq x < - 2$ $Graph and write interval notation. - - 6 \leq x < - 2$

Find the indicated intersection or union. - $\{ 4,9,14,16,23 \} \cap \{ 9,16,23,28 \}$

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

Solve. - $- 0.2 x \geq - 0.9$

Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - $x < - 2 \text { or } x > 5$ $Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - x < - 2 \text { or } x > 5$

Solve. - $15 a - 15 > 5 ( 2 a - 9 )$

Solve. - $1.1 x + 2.9 > 0.3 x + 1.22$

Solve and graph. - $x < 1 \text { or } x < 5$ $Solve and graph. - x < 1 \text { or } x < 5$

Solve. -The equation $y = 0.005 x + 0.30$ can be used to determine the profit $y$ , in dollars, of producing $x$ items. How many items $x$ must be produced so the profit will be at least $\$ 1273$ ?

Choose the number that is a solution of the inequality. - $5 t + 9 \geq 4 t - 2$

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. - −8x−(4x+5)>3−(2x+9)- 8 x - ( 4 x + 5 ) > 3 - ( 2 x + 9 )−8x−(4x+5)>3−(2x+9)

Solve. - 7x+6≥5x+27 x + 6 \geq 5 x + 27x+6≥5x+2

Write interval notation for the graph. -

Graph and write interval notation. - x>0 and x<5x > 0 \text { and } x < 5x>0 and x<5

Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - x≤3 or x≥6x \leq 3 \text { or } x \geq 6x≤3 or x≥6

Solve. - 4(3x+3)−38≤6x−24 ( 3 x + 3 ) - 38 \leq 6 x - 24(3x+3)−38≤6x−2

Write interval notation for the graph. -

Write interval notation for the graph. -

Graph and write interval notation. - x≥2x \geq 2x≥2 and x≥−3x \geq - 3x≥−3

Graph and write interval notation. - −6≤x<−2- 6 \leq x < - 2−6≤x<−2

Find the indicated intersection or union. - {4,9,14,16,23}∩{9,16,23,28}\{ 4,9,14,16,23 \} \cap \{ 9,16,23,28 \}{4,9,14,16,23}∩{9,16,23,28}

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

Solve. - −0.2x≥−0.9- 0.2 x \geq - 0.9−0.2x≥−0.9

Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - x<−2 or x>5x < - 2 \text { or } x > 5x<−2 or x>5

Solve. - 15a−15>5(2a−9)15 a - 15 > 5 ( 2 a - 9 )15a−15>5(2a−9)

Solve. - 1.1x+2.9>0.3x+1.221.1 x + 2.9 > 0.3 x + 1.221.1x+2.9>0.3x+1.22

Solve and graph. - x<1 or x<5x < 1 \text { or } x < 5x<1 or x<5

Solve. -The equation y=0.005x+0.30y = 0.005 x + 0.30y=0.005x+0.30 can be used to determine the profit yyy , in dollars, of producing xxx items. How many items xxx must be produced so the profit will be at least $1273\$ 1273$1273 ?

Choose the number that is a solution of the inequality. - 5t+9≥4t−25 t + 9 \geq 4 t - 25t+9≥4t−2

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. - $- 8 x - ( 4 x + 5 ) > 3 - ( 2 x + 9 )$

Solve. - $7 x + 6 \geq 5 x + 2$

Graph and write interval notation. - $x > 0 \text { and } x < 5$ $Graph and write interval notation. - x > 0 \text { and } x < 5$

Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - $x \leq 3 \text { or } x \geq 6$ $Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - x \leq 3 \text { or } x \geq 6$

Solve. - $4 ( 3 x + 3 ) - 38 \leq 6 x - 2$

Graph and write interval notation. - $x \geq 2$ and $x \geq - 3$ $Graph and write interval notation. - x \geq 2 and x \geq - 3$

Graph and write interval notation. - $- 6 \leq x < - 2$ $Graph and write interval notation. - - 6 \leq x < - 2$

Find the indicated intersection or union. - $\{ 4,9,14,16,23 \} \cap \{ 9,16,23,28 \}$

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

Solve. - $- 0.2 x \geq - 0.9$

Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - $x < - 2 \text { or } x > 5$ $Solve the compound inequality. Express the solution using interval notation. Graph the solution set. - x < - 2 \text { or } x > 5$

Solve. - $15 a - 15 > 5 ( 2 a - 9 )$

Solve. - $1.1 x + 2.9 > 0.3 x + 1.22$

Solve and graph. - $x < 1 \text { or } x < 5$ $Solve and graph. - x < 1 \text { or } x < 5$

Solve. -The equation $y = 0.005 x + 0.30$ can be used to determine the profit $y$ , in dollars, of producing $x$ items. How many items $x$ must be produced so the profit will be at least $\$ 1273$ ?

Choose the number that is a solution of the inequality. - $5 t + 9 \geq 4 t - 2$