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?

Mathematics Homework Help

 
"Our Prices Start at $11.99. As Our First Client, Use Coupon Code GET15 to claim 15% Discount This Month!!"