Absolute Value Inequality Functions

What type of function is present? 

• Linear Inequality

• Linear Equation

• Exponential Growth

• Absolute Value

Tags

CCSS.HSF-IF.C.7D

Solve -5|x - 3| - 5 < 15

• No solution

• -1 < x < 7

• -7 < x < 1

• The solution is the set of all real numbers

Select ALL possible intermediate steps when solving -1/2 |3x - 3| + 2 = 1?

• |3x - 3| = 2

• 3x = 5

• -3/2 x + 3/2 + 2 = 1

• -3x = -1

How many solutions does this equation have? ||2x + 5| - 3|=10

• 2 solutions

• 1 solution

• No solution

• 4 solutions

Solve the following inequality:

|3x + 6| ≥ 15

• x ≥ 3 or x ≤ −3

• x ≤ 7 and x ≤ −3

• x ≥ 7 and x ≤ −7

• x ≤ −7 or x ≥ 3

Solve the absolute value inequality: |2x - 3| < 5

• -2 < x < 4

• -1 < x < 3

• -1 < x < 5

• -1 < x < 4

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

What is the first step in solving

|5x + 7| < 22

• Subtract 7 on both sides

• Divide 5 on both sides

• Set up two inequalities

• Set up one inequality

|x+2| > 3

Please answer in interval notation

• (-Infinity,1)

• (-5,-1)

• (-4,4)

• (-infinity, -5)(1, infinity)

| -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