Question 1

Solve.
-$$- 5 ( \mathrm { k } - 5 ) < - 7 + ( - 6 \mathrm { k } + 9 )$$

Accepted Answer

A)  $(\infty, 23 )$ 
B)  $( \infty,9 )$ 
C)  $(\infty, - 7 )$ 
D) $(\infty,-23)$ 
A)  $(\infty, 23 )$ 
B)  $( \infty,9 )$ 
C)  $(\infty, - 7 )$ 
D) $(\infty,-23)$

Question 2

Solve.
-$$3 x + 9 < 24$$

Accepted Answer

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

Question 3

Solve and graph.
-$- 6 x + 1 \geq 13$ or $7 x + 3 \geq - 25$

Accepted Answer

A)  $( - \infty , \infty )$
  
B)  $[ - 2 , \infty )$
  
C)  $[ - 4 , - 2 ]$
  
D)  $[ - 4 , \infty )$
  
A)  $( - \infty , \infty )$
  
B)  $[ - 2 , \infty )$
  
C)  $[ - 4 , - 2 ]$
  
D)  $[ - 4 , \infty )$

Question 4

Graph and write interval notation.
-$- 1 \leq x \leq 3$

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 5

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

Accepted Answer

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

Question 6

Solve.
-$$- \frac { 4 } { 5 } x \leq - \frac { 10 } { 11 }$$

Accepted Answer

A)  $\left( - \infty , \frac { 8 } { 11 } \right]$ 
B)  $\left( - \infty , \frac { 25 } { 22 } \right]$ 
C)  $\left[ \frac { 25 } { 22 } , \infty \right]$ 
D)  $\left[ \frac { 8 } { 11 } , \infty \right]$ 
A)  $\left( - \infty , \frac { 8 } { 11 } \right]$ 
B)  $\left( - \infty , \frac { 25 } { 22 } \right]$ 
C)  $\left[ \frac { 25 } { 22 } , \infty \right]$ 
D)  $\left[ \frac { 8 } { 11 } , \infty \right]$

Question 7

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

Accepted Answer

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

Question 8

Write interval notation.
-$\{ x \mid x > - 5 \}$

Accepted Answer

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

Question 9

Solve and graph.
-$2 x + 5 \geq 11$ and $2 x + 5 \leq 19$

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 10

Solve.
-$$2 ( 6 x + 8 ) \geq 2 ( 4 x + 24 )$$

Accepted Answer

A)  $[ 16 , \infty )$ 
B)  $( - \infty , 8 ]$ 
C)  $[ 8 , \infty )$ 
D)  $( - \infty , 16 ]$ 
A)  $[ 16 , \infty )$ 
B)  $( - \infty , 8 ]$ 
C)  $[ 8 , \infty )$ 
D)  $( - \infty , 16 ]$

Question 11

Solve and graph.
-$6 x + 2  - 4$

Accepted Answer

A)  $( - \infty , 1 )$
  
B)  $( - \infty , - 3 )$
  
C)  $( - \infty , - 3 ) \cup ( 1 , \infty )$
  
D)  $( - 3,1 )$
  
A)  $( - \infty , 1 )$
  
B)  $( - \infty , - 3 )$
  
C)  $( - \infty , - 3 ) \cup ( 1 , \infty )$
  
D)  $( - 3,1 )$

Question 12

Solve and graph. Write the result in interval notation.
-$f - 12 \leq - 4$

Accepted Answer

A)  $[ 8 , \infty )$
  
B)  $( - \infty , 8 )$
  
C)  $( 8 , \infty )$
  
D)  $( - \infty , 8 ]$
  
A)  $[ 8 , \infty )$
  
B)  $( - \infty , 8 )$
  
C)  $( 8 , \infty )$
  
D)  $( - \infty , 8 ]$

Question 13

Solve.
-$$\frac { 1 } { 10 } ( 3 x + 4 ) \leq - \frac { 1 } { 2 } + \frac { 1 } { 5 } ( 6 x + 1 )$$

Accepted Answer

A)  $\left( \frac { 7 } { 9 } , \infty \right)$ 
B)  $\left[ - \frac { 7 } { 9 } , \infty \right)$ 
C)  $\left[ \frac { 7 } { 9 } , \infty \right)$ 
D)  $\left[ - \infty , \frac { 7 } { 9 } \right]$ 
A)  $\left( \frac { 7 } { 9 } , \infty \right)$ 
B)  $\left[ - \frac { 7 } { 9 } , \infty \right)$ 
C)  $\left[ \frac { 7 } { 9 } , \infty \right)$ 
D)  $\left[ - \infty , \frac { 7 } { 9 } \right]$

Question 14

Solve and graph. Write the result in interval notation.
-$x - 10 < - 6$

Accepted Answer

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

Question 15

Solve.
-$$54 - ( 5 x + 4 ) \leq 2 ( x - 5 ) + 5 x$$

Accepted Answer

A)  $\left( \infty , \frac { 17 } { 3 } \right]$ 
B)  $( \infty , 5 ]$ 
C)  $\left[ \frac { 17 } { 3 } , \infty \right]$ 
D)  $[ 5 , \infty )$ 
A)  $\left( \infty , \frac { 17 } { 3 } \right]$ 
B)  $( \infty , 5 ]$ 
C)  $\left[ \frac { 17 } { 3 } , \infty \right]$ 
D)  $[ 5 , \infty )$

Question 16

Write interval notation for the graph.
-

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

Solve.
-$2 \leq 2 \mathrm { t } - 2 \leq 8$

Accepted Answer

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

Solve. - $- 5 ( \mathrm { k } - 5 ) < - 7 + ( - 6 \mathrm { k } + 9 )$

Solve. - $3 x + 9 < 24$

Solve and graph. - $- 6 x + 1 \geq 13$ or $7 x + 3 \geq - 25$ $Solve and graph. - - 6 x + 1 \geq 13 or 7 x + 3 \geq - 25$

Graph and write interval notation. - $- 1 \leq x \leq 3$ $Graph and write interval notation. - - 1 \leq x \leq 3$

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

Solve. - $- \frac { 4 } { 5 } x \leq - \frac { 10 } { 11 }$

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

Write interval notation. - $\{ x \mid x > - 5 \}$

Solve and graph. - $2 x + 5 \geq 11$ and $2 x + 5 \leq 19$ $Solve and graph. - 2 x + 5 \geq 11 and 2 x + 5 \leq 19$

Solve. - $2 ( 6 x + 8 ) \geq 2 ( 4 x + 24 )$

Solve and graph. - $6 x + 2 < - 16 \text { and } 4 - 8 x > - 4$ $Solve and graph. - 6 x + 2 < - 16 \text { and } 4 - 8 x > - 4$

Solve and graph. Write the result in interval notation. - $f - 12 \leq - 4$ $Solve and graph. Write the result in interval notation. - f - 12 \leq - 4$

Solve. - $\frac { 1 } { 10 } ( 3 x + 4 ) \leq - \frac { 1 } { 2 } + \frac { 1 } { 5 } ( 6 x + 1 )$

Solve and graph. Write the result in interval notation. - $x - 10 < - 6$

Solve. - $54 - ( 5 x + 4 ) \leq 2 ( x - 5 ) + 5 x$

Write interval notation for the graph. -

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

Solve. - $2 \leq 2 \mathrm { t } - 2 \leq 8$

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. - −5(k−5)<−7+(−6k+9)- 5 ( \mathrm { k } - 5 ) < - 7 + ( - 6 \mathrm { k } + 9 )−5(k−5)<−7+(−6k+9)

Solve. - 3x+9<243 x + 9 < 243x+9<24

Solve and graph. - −6x+1≥13- 6 x + 1 \geq 13−6x+1≥13 or 7x+3≥−257 x + 3 \geq - 257x+3≥−25

Graph and write interval notation. - −1≤x≤3- 1 \leq x \leq 3−1≤x≤3

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

Solve. - −45x≤−1011- \frac { 4 } { 5 } x \leq - \frac { 10 } { 11 }−54​x≤−1110​

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 \} \cup \{ q , s , y , z \}{q,s,u,v,w,x,y,z}∪{q,s,y,z}

Write interval notation. - {x∣x>−5}\{ x \mid x > - 5 \}{x∣x>−5}

Solve and graph. - 2x+5≥112 x + 5 \geq 112x+5≥11 and 2x+5≤192 x + 5 \leq 192x+5≤19

Solve. - 2(6x+8)≥2(4x+24)2 ( 6 x + 8 ) \geq 2 ( 4 x + 24 )2(6x+8)≥2(4x+24)

Solve and graph. - 6x+2<−16 and 4−8x>−46 x + 2 < - 16 \text { and } 4 - 8 x > - 46x+2<−16 and 4−8x>−4

Solve and graph. Write the result in interval notation. - f−12≤−4f - 12 \leq - 4f−12≤−4

Solve. - 110(3x+4)≤−12+15(6x+1)\frac { 1 } { 10 } ( 3 x + 4 ) \leq - \frac { 1 } { 2 } + \frac { 1 } { 5 } ( 6 x + 1 )101​(3x+4)≤−21​+51​(6x+1)

Solve and graph. Write the result in interval notation. - x−10<−6x - 10 < - 6x−10<−6

Solve. - 54−(5x+4)≤2(x−5)+5x54 - ( 5 x + 4 ) \leq 2 ( x - 5 ) + 5 x54−(5x+4)≤2(x−5)+5x