Inequalities & Absolute Value

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

x+2<-4 or -5x<-15

• -6<x<3

• x<-3 and x>6

• x<-6 or x>3

• No Solution

Solve and graph:

• A

• B

• C

• D

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5

• x = 0 and x = -5

• x = 10 and x = -10

• No Solution

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0

• x = 3 and x = -3

• x = -12 and x = 0

• No Solution

|8 - 4x| = 16

• x = -2, x = -6

• x = 2 , x = 24

• x = -2, x = 6

• No Solution

Evaluate each expression.
| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution

Solve |x – 12| - 3 = 11.

• -2, -26

• -2, 26

• 3, 25

• 4, -7

Solve for x
2 lx−4l+8=18

• x = 9 and x =-1

• x = 1 and x = -9

• x= 4 and x = -2

• No Solution

Solve the following equation:|−2n| + 10 = −50

• {30, −30}

• {20, −20}

• {−5, 5}

• No Solution