One Step Absolute Value Inequalities

Pick the correct inequality.

• A

• B

• C

• D

Tags

CCSS.6.EE.B.8

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

Solve:
|x + 4| - 8 > 2

• x > 6 and x < 10

• x > 6 or x < -14

• all real numbers

• no solution

Solve.
-5|x - 4| > -20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

Solve.

• no solution

• -6 ≤ r ≥ 8

• 6 > r > -8

• -6 < r < 8

| -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 to figure out the solutions for x in the following equation: \left|x-3\right|+2\ =\ 6

• Solve the equation

• Create two new equations, one positive and one negative

• Isolate the absolute value expression

What is the first step in solving |absolute value| inequalities

• Multiply both sides by a negative number.

• Ignore the absolute value and solve normally.

• Isolate the absolute value expression.

• Add the absolute value to both sides.

Which of the following represents the solution of |x - 3| < 5?

• x > 8 or x < -2

• -2 < x < 8

• x > 2 and x < 8

• x < 2 or x > 8

What is the effect of multiplying both sides of an absolute value inequality by a negative number?

• The inequality sign remains the same

• The inequality sign is reversed

• The absolute value is removed

• The inequality becomes an equation