Help!!! How how do you solve this math problem???"-1/8|2x+3|<-1/2"

The bars are absolute value bars... What is the answer and do I switch the sign when dividing by a negative fraction?

|2x+3| > 4
2x+3 > 4 => x > 1/2
or
2x+3 < -4 => x < -7/2

As Sahsjing implied in his solution, yes, you do switch the sign when dividing by a negative fraction.

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More importantly, the answer is NOT of the form x=??. You are dealing with INEQUALITIES here. Think, for instance, of a simpler one, such as |x-10|<2. This means "the distance between x and 10 is less than 2. Clearly, this will happen if (and only if) x is between 8 and 12. That's what you want!

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