Solution Set for Absolute Value Inequality

| x + 3 | > 8

• No Solution

• All Real Numbers

• x < -11  or  x > 5

• -5 < x < 11

| 2w - 1 | < 11

• No Solution

• w < 5

• -5 < w and w < 6

• -6 < w and w < 5

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

• no solution
• x > 2 or x < -22
• -22 < x < 2
• all real numbers

2t - 3 | - 5 > 16

• No Solution

• All Real Numbers

• t < -2  or  t > 5

• -2 < t < 5

• no solution
• -6 < x < 26
• x < -6 or x > 26
• all real numbers

An absolute value inequality is

• an inequality that contains an absolute value expression

• impossible to solve

• an equation that contains an absolute value expression

• always going to have two solutions

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

• and

• or

What is the correct first step?

• divide both sides by 10

• multiply both sides by 10

• make it two inequalities with an "or"

• make it two inequalities with and "and" or a between statement

| -8x | < 8

What is the correct first step?

• separate into two inequalities with an "and" or a between statement

• separate into two inequalities with an "or" statement

• divide both sides by -8

• add 8 to both sides