Solving inequalities

Solving inequalities

Chapter 1 Lesson 5

Multiple Choice

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Multiple Choice

-2 < x - 9 < 3

• x < 12

• 7 < x

• 7 < x < 12

Multiple Choice

 $4\left(y+4\right)\le16$  

•  $y\le0$  

• No Solution

•  $y\le2$  

Multiple Choice

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Multiple Choice

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Multiple Choice

-2x + 3(-4x + 6) ≤116

• x ≤ -7
• x ≥ 29
• x ≥ -7
• x ≤ 29

Multiple Choice

When graphing do you use an open or closed circle for > ?

• Open

• Closed

Multiple Choice

When graphing do you use an open or closed circle for < ?

• Open

• Closed

Multiple Choice

Solve:
7(x + 3) < 5x + 13

• x>-4
• x < 17
• x<-4
• x > -17

Multiple Choice

4x - 3 ≥ 2x - 1

• x ≤ -1

• x ≥ -1

• x ≤ 1

• x ≥ 1

Multiple Choice

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Multiple Choice

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18 

Multiple Choice

 $\frac{x+2}{3}-2\ge\frac{x}{2}$  

•  $x\le-8$  

•  $x\ge-8$  

•  $x\le2$  

•  $x\ge2$  

Multiple Choice

 $\frac{1}{2}\le\frac{1+y}{3}\le\frac{3}{4}$  

•  $2\le y\le5$  

•  $\frac{5}{4}\le y\le2$  

•  $\frac{1}{2}\le y\le\frac{5}{4}$