Absolute Value Study Material

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

Solve: |x + 4| - 8 > 2

Back

x > 6 or x < -14

Front

Solve: 6 - 2|m - 3| > -4

Back

-2 < m < 8

Front

What does it mean if |x| = -9?

Back

This statement is false because absolute values cannot be negative.

Front

Solve: −2|−2r − 4| = -12

Back

{-5, 1}

Front

True or False: |x + 5| = -9 has a solution.

Back

False

Front

What is the graphical representation of |x|?

Back

The graph of |x| is a V-shaped graph that opens upwards, intersecting the origin.

Front

What is the effect of a negative sign in front of an absolute value function?

Back

It reflects the graph of the absolute value function across the x-axis.

Front

Solve: |x - 3| = 5

Back

x = 8 or x = -2

Front

What is the solution set for |x| < 3?

Back

-3 < x < 3