Solutions to Multistep Inequalities

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D

Write the inequality in interval notation.

• (-2,5)

• (-∞,-2) or (5,∞)

• [-2,5]

• (-∞,-2] or [5,∞)

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

3x-4< -13 or 7x+1> 22

• All Real numbers

•   x>3   and x>-9

• The answer is not listed

• x<-3   or x>3

-8<2(x+4) or -3x+4>x-4

• No solutions

• x<-8 or x<2

•  x>-8 or x<2

• x<-8 and x<2

What inequality is graphed? 

• x > 2 and x ≤ -3

• x > 2 and x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

Solve:
|x + 4| - 8 > 2

• x > 6 and x < 10

• x > 6 or x < -14

• all real numbers

• no solution

What is the first step?

• Get the absolute value alone by dividing both sides by 5

• Drop the absolute value bars and add 7 and 5 together

• Get the absolute value alone by subtracting 5 from both sides

What interval notation does the number line graph represent?

• [∞, -5)

• (∞, -5)

• [-5, ∞)

• (-5, ∞)

Tags

CCSS.6.EE.B.8

Look at the picture. Which number line corresponds to [-2, 5]?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Tags

CCSS.6.EE.B.8