Inequalities Involving Absolute Value

| 2w - 1 | < 11

• No Solution

• w < 5

• -5 < w and w < 6

• -6 < w and w < 5

| x + 3 | > 8

• No Solution
• All Real Numbers
• x < -11  or  x > 5
• -5 < x < 11

What is the correct first step?

• divide by 10
• multiply by 10
• make it two inequalities with an "or"
• make it two inequalities with and "and

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

• and
• or

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

• and
• or

| 3x - 9 | < 3

• x < - 10 or x > - 2
• -10 < x < - 2
• x < 2 or x > 4
• 2 < x < 4

|-9v| < 54

• -6<v<6
• v<-6 or v>6
• v=6 or v=-6
• -6>v<6

What inequality does the number line graph represent?

• -x + 4 ≥ -1
• -2x + 3 > -7
• -x + 1 < -4
• 2x + 3 ≥ 13

What inequality is graphed?

• x > 2 and x < 4
• x ≥ 2 and x ≤ 4
• x > 2 or x < 4
• x ≥ 2 or x ≤ 4

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 and x < -3
• x > 2 or x ≤ -3
• x > 2 or x < -3