Solving Inequalities with Compound

Which compound inequality involves >,≥ when solving absolute value inequalities?

• and

• or

What is the first step?

• Get the absolute value alone by dividing both sides by 5

• Drop the absolute value bars and add 7 and 5 together

• Get the absolute value alone by subtracting 5 from both sides

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

• and

• or

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

• and

• or

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

| x + 3 | ≤ 2

• No Solution

• x ≤ -1

• -5 ≤ x and x ≤ -1

• 1 ≤ x and x ≤ 5

| 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

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D

no solution

• no solution

• x > 2 or x < -22

• -22 < x < 2

• all real numbers