Question

question 5 (3 points)
describe or draw the graph of the inequality below.
should the circle be open (not filled in) or closed (filled in)?
which number should the circle be on?
in which direction should the arrow go, left or right?
you will receive 1 point for the correct circle type, 1 point for the correct number with the circle will be on, and 1 point for the correct arrow direction.
$x \leq -2$

Explanation:

Step1: Determine circle type

The inequality is \( x \leq -2 \). The symbol \( \leq \) means "less than or equal to", so the circle should be closed (filled in) because the value \(-2\) is included in the solution set.

Step2: Determine circle number

The inequality is \( x \leq -2 \), so the circle should be on the number \(-2\).

Step3: Determine arrow direction

For \( x \leq -2 \), we are looking for all numbers less than or equal to \(-2\). On the number line, numbers less than \(-2\) are to the left of \(-2\), so the arrow should go to the left.

Answer:

• Circle type: closed (filled in)
• Circle on number: \(-2\)
• Arrow direction: left