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# Chapter 9

### Inequalities and Absolute values

If A = {xlx is an even integer}, B= {xlx is an odd integer}, C = {2,3,4,5}, D ={4,5,6,7} List the elements of each set. 1. C u D {2,3,4,5,6,7}
If A = {xlx is an even integer}, B= {xlx is an odd integer}, C = {2,3,4,5}, D ={4,5,6,7} List the elements of each set. 2. A n D {4,6}
-2x<-8 and x-5<5 (4,10)
x<4 or x<5 (−∞,5)
5<x-6<11 (11,17)
Solve : lyl = 0 You are looking for all numbers whose distance from 0 is zero units lzl = 0
When the absolute value is 0 the solution exists: TRUE OR FALSE false the solution set is {} or 0 with a line through it.