Inequalities, Compound Inequalities and Absolute Value Inequalities

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

Which compound inequality represents the graph?

• m < -1 OR m > 2

• -1 < m < 2

• m > -1 OR m < 2

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"

| -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

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 + 1 ≤ -3 or -4x < -8

• x ≤ -4 or x > 2

• x ≤ -4 and x > 2

• x ≤ -2 or x > 2

• x ≤ -2 and x > 2

3 < 2x + 1 < 7

• 1 < x < 3

• 3 < x < 4

• 3 < x < 3

• 2 < x < 6

2x + 9 < 7 or -5x + 7 < -8

• x < -1 or x > 3

• x < 8 or x > 3

• x < -1 and x > 3

• x < 8 and x > 3

|x + 4| ≤ 8

• x ≤ 4 and x ≥ -12

• x ≤ 4 or x ≥ -12

• x ≤ 4 or x ≥ -4

• x ≤ 4 and x ≥ 12

|x - 8| > 12

• x > 20 or x < -4

• x > 20 and x < -4

• x > 4 or x < -20

• x > 4 and x < -4