Question

a) write an inequality that represents the statement \x is greater than or equal to (-1\frac{1}{2})\?
(xgeq -1\frac{1}{2})
(\boldsymbol{e}) which graph represents the inequality?

Explanation:

Step1: Translate statement to inequality

The phrase "greater than or equal to" uses the symbol $\geq$, and $-1\frac{1}{2}$ is the lower bound. So the inequality is:
$w \geq -1\frac{1}{2}$

Step2: Identify number line rules

For $\geq$, we use a closed (filled) circle at $-1\frac{1}{2}$ (which is between -2 and -1) and shade to the right (for values greater than the bound).

Answer:

1. The inequality is $\boldsymbol{w \geq -1\frac{1}{2}}$
2. The correct graph is the top-left one: a closed blue circle at $-1\frac{1}{2}$ (between -2 and -1) with the line shaded to the right.