Mathematics Homework Help
Mathematics Homework Help. Absolute values of inequalities
i solved the equation | 2x + 7 | + 5 > 10
subtracted 5 : | 2x + 7 | + 5-5 > 10-5
got: 2x+7 > 5
subtracted 7: 2x + 7-7 =5-7
got: 2x> -2
divided by 2: 2x/2 > -2/2
answer: x > -1
Then i did | 2x + 7 | -5 > -10
added 5: |2x + 7 | -5 + 5 > -10 + 5
got: 2x + 7 > -5
subtracted 7: 2x + 7-7 > -5-7
got: 2x > -12
divided by 2: 2x/2 > -12/2
got: x < -6
my question is why did the sign change for x<-6 and not for x>-1 since they are both negative?
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