Question

what is the correct graph for the inequality $3 \geq x$?
\bigcirc a. closed circle at 3 with shading to the right
\bigcirc b. closed circle at 3 with shading to the left
\bigcirc c. open circle at 3 with shading to the right
\bigcirc d. open circle at 3 with shading to the left

Explanation:

Step1: Interpret the inequality

The inequality $3 \geq x$ is equivalent to $x \leq 3$.

Step2: Determine circle type

Since the inequality includes equality ($\leq$), use a closed circle at 3.

Step3: Determine shading direction

$x \leq 3$ means values less than 3, so shade to the left of 3.

Answer:

b. Closed circle at 3 with shading to the left