Question

Solve the given inequality and graph the solution on a number line.

Answer 1

$-\dfrac{x}{2}+\dfrac{3}{2} < \dfrac{5}{2}\ \ \ \ |\cdot2\\\\-x+3 < 5\ \ \ |-3\\\\-x < 2\ \ \ \ |change\ the\ signs\\\\x > -2\to x\in(-2;\ \infty)$

Answer\ in\ attachment.