Answer:
x > -2
Step-by-step explanation:
[tex] -\frac{x}{2} + \frac{3}{2} < \frac{5}{2} [/tex]
Subtract ³/2 from each side
[tex] -\frac{x}{2} + \frac{3}{2} - \frac{3}{2} < \frac{5}{2} - \frac{3}{2} [/tex]
[tex] -\frac{x}{2} < \frac{5 - 3}{2} [/tex]
[tex] -\frac{x}{2} < \frac{2}{2} [/tex]
[tex] -\frac{x}{2} < 1 [/tex]
Multiply both sides by -2 (multiplying both sides by a negative number will change the sign of inequality from < to >)
[tex] -\frac{x}{2} * -2 < 1 * -2 [/tex]
x > -2
