SOLUTION: Can i please get some assistance to solve 'a' for the following equation? If possible may you please show me how to draw the answer on the number line? I would be so greatful!

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Question 807381: Can i please get some assistance to solve 'a' for the following equation? If possible may you please show me how to draw the answer on the number line?
I would be so greatful!
|a + 5| divide 2 > 6
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28a%2B5%29%2F2%3E6
abs%28a%2B5%29%3E2%2A6
abs%28a%2B5%29%3E12

Look at the conditions a+5 being negative and non-negative.

a%2B5%3E=0?
abs%28a%2B5%29=a%2B5.
a%2B5%3E12
a%3E12-5
a%3E7

a%2B5%3C0?
abs%28a%2B5%29=-%28a%2B5%29=-a-5.
-a-5%3E12
a%2B5%3C-12 notice the change direction of inequality.
a%3C-12-5
a%3C-17

The solution is the union of those two results. Saying what is a, a%3C-17 OR a%3E7, since these are two non-overlapping regions of the real numbers.