Section 1.6 - Absolute Value Equations and Inequalities

Solve the equation |2x + 1| - 3 = 8

• x = 5, x = -6
• x = 5, x = -5
• x = -3. x = 5
• No solution 

Solve the equation |x - 4| + 6 = 2

• x = 0
• x = 0, x = 8
• x = 4, x = -4
• no solution 

Solve the inequality |2x - 3 | ≥  7

• -2 ≤ x ≤ 5
• x ≤ -5 or x ≥ 2
• -5 ≤ x ≤ 5
• x ≤ -2 or x ≥ 5

|b-8|+10>22

• -4<b<20
• b<-4 or b>20
• 20<b<-4
• b=-4 or b=20

2|5x-1|+3=9

• x=4/5
• x=7/5 and x=-1
• x=7/5
• x=4/5 and x=-2/5

|4x-3|<1

• x<1
• x>-1/2
• x<1/2 or x>1
• 1/2<x<1

Solve: Get Absolute value by itself first.

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

What kind of compound inequality is this?

• AND compound inequality
• OR compound inequality

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

Tags

CCSS.6.EE.B.8

Write the inequality in interval notation.

• (-2,5)
• (-∞,-2)⋃(5,∞)
• [-2,5]
• (-∞,-2]∪[5,∞)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3