{}'s represent absolute value bars.
{2x+5} - 7 > -6
What the do I do wit the -7? How is the problem solved?
bring it to the other side.
$\displaystyle |2x + 5| - 7 \geq -6$
$\displaystyle \Rightarrow |2x + 5| \geq 1$
we have absolute values, we consider two inequalities now. one inequality describes if what is in the absolute value signs is positive, the other deals with the possibility it is negative
So we must solve:
$\displaystyle 2x + 5 \geq 1$ .............and ..............$\displaystyle -(2x + 5) \geq 1$
now continue