Question

How do I solve the following Inequality Problem: (3/|5-2x| )< 2

Answer 1

\[\large \cfrac{3}{|5-2x|} < 2\]

Cross multiply

\[\large \cfrac{3}{2} < |5-2x|\]

Now there are two cases

Case 1 .... 5-2x > 0 then

\[\large \cfrac{3}{2} < 5-2x\]

solve this

Case 2 ... 5 - 2x <0 then

\[\large \cfrac {3}{2} < -(5-2x)\]

\[\large \cfrac{3}{2} < 2x - 5\]

solve this also