Question

-x/2 + 3/2 < 5/2 Solve the inequality. Show your work

Answer 1

Answer:

x > -2

Step-by-step explanation:

$-\frac{x}{2} + \frac{3}{2} < \frac{5}{2}$

Subtract ³/2 from each side

$-\frac{x}{2} + \frac{3}{2} - \frac{3}{2} < \frac{5}{2} - \frac{3}{2}$

$-\frac{x}{2} < \frac{5 - 3}{2}$

$-\frac{x}{2} < \frac{2}{2}$

$-\frac{x}{2} < 1$

Multiply both sides by -2 (multiplying both sides by a negative number will change the sign of inequality from < to >)

$-\frac{x}{2} * -2 < 1 * -2$

x > -2