Inequalities with Absolute Value

∣-61∣ ____ ∣5∣

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Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

∣-5∣ _____ ∣5∣

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| 2w - 1 | < 11

• No Solution

• w < 5

• -5 < w < 6

• -6 < w < 5

Solve.

|x + 4| < 5

• x < -9 or x > 1

• -9 < x < 1

• x < 9 or x > -1

• -1 < x < 9

What is the correct first step?

(a)  

• divide by 10

• make it two inequalities with an "or"

• make it two inequalities with and "and

• multiply by 10

Describe the first step in solving the absolute value inequality

• Add 5 on both sides

• Divide both sides by -5

• Set up two inequalities

• no solution

Show the missing steps for each side of the absolute value function

a

b

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12

• -4 ≤ y ≤ -12

• y ≤ 4 or y ≥ -12

• -12 ≤ x ≤ 4

| x + 1 | ≥ 3

• No Solution

• All Real Numbers

• x ≤ -4  or  x ≥ 2

• -4 ≤ x ≤ 2

Would this be set up as an

AND or an OR?

|2x + 6| ≥ 8

• OR

• AND