Question

1. $-2y - 5 > \frac{5}{2}$

Explanation:

Step1: Add 5 to both sides

$-2y - 5 + 5 > \frac{5}{2} + 5$
$\implies -2y > \frac{5}{2} + \frac{10}{2}$
$\implies -2y > \frac{15}{2}$

Step2: Divide by -2, flip inequality

$y < \frac{15}{2} \div (-2)$
$\implies y < -\frac{15}{4}$
$\implies y < -3.75$

Step3: Graph on number line

Draw an open circle at $-3.75$ (since the inequality is strict, no equality) and shade all values to the left of this point on the number line.

Answer:

$y < -\frac{15}{4}$ (or $y < -3.75$); on the number line, open circle at $-3.75$, shade left.