The rules for removing absolute value bars:

1. 

becomes:



Same for 

2. 

becomes:



Same for 

Yours is case 2:



becomes:



then solve each for x

Subtract 7 from both sides





Divide through by -2, remembering that when we
divide both sides of an inequality by a negative
number, the inequality symbols reverse directions:



Then we place this on a number line:

<=============o--------------------------------------o============>
 -7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 

In interval notation this is 



Edwin