Question

graph each inequality.

1. ( x geq 3 )

1. ( -4 > y )

1. ( x leq -2 )

Explanation:

Step1: Graph $x \geq 3$

1. Locate $3$ on the number line.
2. Use a closed dot (since $\geq$ includes 3).
3. Shade all values to the right of 3.

Step2: Graph $-4 > y$ (rewrite as $y < -4$)

1. Locate $-4$ on the number line.
2. Use an open dot (since $<$ does not include -4).
3. Shade all values to the left of -4.

Step3: Graph $x \leq -2$

1. Locate $-2$ on the number line.
2. Use a closed dot (since $\leq$ includes -2).
3. Shade all values to the left of -2.

Answer:

1. For $x \geq 3$: Closed dot at 3, shaded right of 3 on the number line.
2. For $-4 > y$: Open dot at -4, shaded left of -4 on the number line.
3. For $x \leq -2$: Closed dot at -2, shaded left of -2 on the number line.