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Inequalities and Absolute Value Equations

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|4x|-8=4

x=3 or x=-3

|10n-2|+13=6

No Solution

Solve |x-7|=9

x=16 or x=-2

Solve: -7-7x<0

x>-1

-1<x+4<14

-5<x<10

3t-2<-8 or 4t+5>9

t<-2 or t>1

Solve -11<y-1

y>-10

A law clerk has earned less than $35,000. Write an inequality with c being the variable to represent this.

c<35,000

Solve: 5x+2<4x-3

x<-5

Solve: (-5/4)x>-10

x<8

Solve 3/5 + a > -2/5

a>-1

Solve: p-6<2

p<8

Solve |x|+1=11

x=10 or x=-10

Solve: |8t|=40

t=5 or t=-5

Solve: -30>-6c

c>5

Determine whether x=-3 is a solution to 4x-7<-2

Yes