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# Module 9 Math 113

### Inequalities and Absolute Values

solve x-7<2 and 2x+1<9 x<9 and x<4 solution set is (-infinity symbol, 4)
Solve 2<4-x<7 (-3,2)
Solve |5w+3|=7 {-2,4/5}
-2x<-10 and x-4<4 5<x<8 Interval notation (5,8)
3<x-5<18 (8,23)
2(x-2)<4 or x+5>6 All real numbers Interval notation (-infinity,infinity)
|x|=4 {-4,4}
|2x-1|=5 3,-2
|x|+9=51 -42,42
|7x|=0 0
Write an absolute value equation representing all numbers x whose distance from 0 is 25 units. |x|=25
|7x-18|=|2x+5| 13/9, 23/5
|z+3|=|z-5| z=1
|x|=19 -19,19
|x|=-8 There is no solution. No number can have a negative absolute value.
|6x|-6=24 5,-5
|x-4|+6=7 5,3
|6v-9|=-8 No Solution
|10+10c|-20=-2 4/5,-14/5
|2x-6|=|-16| 11,-5
Created by: 648529451