Solving Absolute Value Equations & Inequalities

Front

Is absolute value always positive?

Back

yes

Front

Define absolute value.

Back

The distance of a number from zero.

Front

Solve for x
l x−6 l + 4= 10

Back

x = 12 and x = 0

Front

Solve for x
l 4x−3 l = 17

Back

x = 5 and x = -3.5

Front

−2|−2r − 4| = -12

Back

{-5,1}

Front

|2x – 3| + 5 = 10

Back

{−1, 4}

Front

Solve: |x + 4| < 5

Back

-9 < x < 1

Front

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

Back

-2 < m < 8

Front

What is the correct first step? Options: divide by 10, multiply by 10, make it two inequalities with an "or", make it two inequalities with an "and"

Back

multiply by 10

Front

| 2x + 12 | < 8
Which is the correct first step?

Back

2x + 12 < 8 and 2x+12 >-8