[tex] \frac{-x}{2} +\frac{3}{2} < \frac{5}{2} [/tex]
to solve the inequality, we have to isolate x
So
subtract [tex] \frac{3}{2} [/tex] from both sides
[tex] \frac{-x}{2} < \frac{5}{2} -\frac{3}{2} [/tex]
[tex] \frac{-x}{2} < \frac{2}{2} [/tex]
Multiply both sides by 2
[tex] -x<2 [/tex]
Multiply both sides by -1 , to make x positive , it will flip the inequality sign
[tex] x>-2 [/tex]
