What steps would you follow to graph the inequality statement?

Question

-4 ≥ -w

place an open circle on 4 and shade to the left
place a closed circle on 4 and shade to the right
place a closed circle on -4 and shade to the right
place an open circle on -4 and shade to the left

Answer 1

To graph the inequality \(-4 \geq -w\), follow these steps:

1. Rewrite the inequality: To make it easier to graph, you can rearrange the inequality. It can be rewritten as \(w \geq 4\) by multiplying both sides by \(-1\) and reversing the inequality sign.

2. Identify the critical point: The critical point from the rewritten inequality \(w \geq 4\) is \(4\).

3. Determine the type of circle: Since the inequality is "greater than or equal to" (\(\geq\)), you will use a closed circle on \(4\).

4. Shade the appropriate region: Since \(w\) is greater than or equal to \(4\), you will shade to the right of the closed circle at \(4\).

Thus the correct answer is:

• place a closed circle on 4 and shade to the right.