Solving Inequalities with Negative Numbers

Which compound inequality represents the graph?

• m < -1 OR m > 2

• -1 < m < 2

• m > -1 OR m < 2

• 2 > m > -1

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

| x + 3 | ≤ 2

• No Solution

• x ≤ -1

• -5 ≤ x and x ≤ -1

• 1 ≤ x and x ≤ 5 ... 1 ≤ x ≤ 5

| 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

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

• x < -6 or x > 8

• x > -6 or x < 8

• 8 < x < -6

• -6 < x < 8

Solve for r.

• r ≥ -38 and r ≤ 32

• r > -38 and r < 32

• r ≥ -38 or r ≤ 32

• r > -38 or r < 32