Solving Absolute Value Inequalities

| x + 3 | ≤ 2

• No Solution

• x ≤ -1

• -5 ≤ x and x ≤ -1

• 1 ≤ x and x ≤ 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| 2w - 1 | < 11

• No Solution

• w < 5

• -5 < w and w < 6

• -6 < w and w < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

| x + 3 | > 8

• No Solution
• All Real Numbers
• x < -11  or  x > 5
• -5 < x < 11

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What is the correct first step?

• divide by 10
• multiply by 10
• make it two inequalities with an "or"
• make it two inequalities with and "and

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

| -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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute Value inequality and graph. 

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• no solution
• x > 2 or x < -22
• -22 < x < 2
• all real numbers

Tags

CCSS.HSA.REI.B.3

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Which compound inequality represents the graph?

• m < -1 OR m > 2
• -1 < m < 2
• m > -1 OR m < 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3