Solve Linear and Absolute Value Inequalities

Looks like a "V" when you graph it.

Also, the "distance from zero".

• Absolute Value

• Quadratics

• Exponential

• Linear

Solve and graph:

• A

• B

• C

• D

• None of the above

| x + 3 | ≤ 2

• No Solution

• All Real Numbers

• -5 ≤ x ≤ -1

• 1 ≤ x ≤ 5

4|5x-2|+7>39

• -6/5<x>2

• x=2 or x=-6/5

• x=2 and x=-6/5

• x<-6/5 or x>2

What is the first step in solving

|x + 4| - 8 > 2

• Subtract 2 on both sides

• Set up two inequalities

• Divide 8 on both sides

• Add 8 on both sides

| -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

Describe the first step in solving the absolute value inequality

• Add 5 on both sides

• Divide both sides by -5

• Set up two inequalities

• no solution

−2|−2r − 4| = -12

• No Solution

How would you graph the following linear inequality? y ≥ 4

• Dashed line, shade above

• Dashed line, shade below

• Solid line, shade above

• Solid line, shade below

you must be at least 48 inches to ride the roller coaster.

• x > 48

• x < 48

• x ≤ 48

• x ≥ 48