SOLUTION: 1/2|d|+5>=2|d|-13 I've never seen anything like this before and it really confuses me. Please help.

Algebra ->  Absolute-value -> SOLUTION: 1/2|d|+5>=2|d|-13 I've never seen anything like this before and it really confuses me. Please help.      Log On


   

Question 101799This question is from textbook
: 1/2|d|+5>=2|d|-13 I've never seen anything like this before and it really confuses me. Please help. This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
1/2|d| + 5 >= 2|d| - 13
|d| + 10 >= 4|d| - 26
d + 10 = 4d - 26 and -d + 10 = -4d - 26
36 = 3d and 3d = -36
12 = d and d = -12
<---------[-12]-------------[12]------------>
Test:
d = -20 ......... 1/2(20) + 5 >= 2(20) - 13 .... 15 >= 27
d = 0 ............ 1/2|0| + 5 >= 2|0| - 13 .... 5 >= -13
d = 20 ........... 1/2(20) + 5 >= 2(20) - 13
<---------[-12]=============[12]------------>
Solution: [-12,12]