Inequalities with Absolute Value

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Solve for n.

• n ≥ 10 and n ≤ -6

• n > 10 and n < -6

• n ≥ 10 or n ≤ -6

• n > 10 or n < -6

Solve for x
∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3   x = -6

• x = 3   x = -12

• x = 6   x = -12

Solve for x
| 2x – 3 | + 5 =10.

• { -1, 1 }

• { -1, 4 }

• { -1, -4 }

• { 1, 4 }

• A

• B

• C

• D

Tags

CCSS.6.EE.B.8

| 2w - 1 | < 11

• No Solution

• All Real Numbers

• -5 < w < 6

• -6 < w < 5

| x - 6 | < 4

• 2 < x < 10

• x < 2 or x > 10

• -1 < x < 5

• x < - 1 or x > 5

| x + 3 | ≤ 2

• No Solution

• All Real Numbers

• -5 ≤ x ≤ -1

• 1 ≤ x ≤ 5

| x - 6 | < 4
Is this an "and"  or an "or" problem?

• and

• or

| 3c - 5 | < -2

• No Solution

• All Real Numbers

• 1 < c < ⁷/₃

• c < 1  or  c > ⁷/₃