Day 3 - Solving Absolute Value Equations and 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

Solve the absolute Value inequality and graph. 

• A
• B
• C
• D

Tags

CCSS.HSA.CED.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

|2a - 10| = 6

• a = 8, a = 5
• a = 2
• a = 8
• a = 8, a = 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides
• Get absolute value alone by dividing by 5 on both sides
• Split into two equations

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:
3 | 2x + 7| + 7 < 4

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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

• -8 < m < 2
• m < -8 or m > 2
• m < -2 or m > 8
• -2 < m < 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3