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Module 9 Math 113
Inequalities and Absolute Values
| Question | Answer |
|---|---|
| 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 |
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