solve the inequality

 l(x/2) + 7l > 6

We have two equations here

x/2 + 7 > 6             and       -(x/2 + 7) >6

Solving the first one, we have

x/2 + 7 > 6    subtract 7 from both sides

x/2 > -1         multiply both sides by 2

x > -2

And solving the second one, we have

-x/2 - 7 > 6   add 7 to both sides

-x/2 > 13      multiply both sides by -2 and change the direction of the equality sign

x < -26

Here's the graph of the solution using the graphs of the  two functions y = l x/2 + 7 l   and  y =6...

https://www.desmos.com/calculator/pq2sj6a3ua

Notice that the first function is greater than the second on the intervals (-∞, -26) and (-2, ∞)....just as our answer said !!!!