Thread: Problem with inequalities

{}'s represent absolute value bars.

{2x+5} - 7 > -6

What the do I do wit the -7? How is the problem solved?

Originally Posted by bonapartist

{}'s represent absolute value bars.

{2x+5} - 7 > -6

What the do I do wit the -7?

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