Solving Inequalities and Absolute Value Inequalities

| -8x | < 8

What is the correct first step?

• separate into two inequalities with an "and"

• separate into two inequalities with an "or"

• divide both sides by -8

• add 8 to both sides

| x - 2 | > 3
Is this an "and"  or an "or" problem?

• and

• or

Solve for n.

• n ≥ 10 and n ≤ -6

• n > 10 and n < -6

• n ≥ 10 or n ≤ -6

• n > 10 or n < -6

Solve x-2 < -8 or x/8 > 1

• x < -6 or x > 8

• x > -6 or x < 8

• 8 < x < -6

• -6 < x < 8

The average temperature in Las Vegas in July is 110 degrees.  If the temperature can vary up to 10 degrees, which equation represents this situation?

• | x - 10 | < 110

• | 110 - x | < 10

• | x - 110 | < 10

• | 10 - x | < 110

Tags

CCSS.HSA.CED.A.3

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

• r > 11/4 or r < 9/4
• r > 5 or r ≤ 0
• r > 5 or r < 0
• r < -5 or r > 0

| x - 2 | > 3

• 2 < x < 10

• x < 2 or x > 10

• -1 < x < 5

• x < - 1 or x > 5

Solve for x.

• x ≥ -13 and x ≤ -3

• x > -13 and x < -3

• x ≥ -13 or x ≤ -3

• x > -13 or x < -3

| 2w - 1 | < 11

• No Solution

• All Real Numbers

• -5 < w < 6

• -6 < w < 5