Compound Inequalities and Absolute Value

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

Solve: -1 < 9 + n < 17

• n > -10 or n < 8

• 8 < n < 26

• -10 < n < 8

• n > 8 or n > 26

Solve:

• A

• B

• C

• D

0 < x + 7 < 9

• -7

• -7

• -7>x and x>2

• -7>x or x>2

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides

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

• Split into two equations

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

• and

• or

What inequality is graphed? 

• x > 2 and x ≤ -3

• x > 2 and x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3