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QUESTION IMAGE

given the inequality below, describe how it would look after being grap…

Question

given the inequality below, describe how it would look after being graphed on a number line.
$xleq -5$
closed circle on -5 and arrow pointing to the right.
open circle on -5 and arrow pointing to the left.
closed circle on -5 and arrow pointing to the left.
open circle on -5 and arrow pointing to the left.

Explanation:

Brief Explanations

When graphing inequalities on a number line, a closed circle is used for $\leq$ or $\geq$ (to include the endpoint), and an open circle for $<$ or $>$. For $x\leq - 5$, since it's $\leq$, we use a closed circle at $-5$. The direction of the arrow depends on the inequality: $\leq$ means values less than or equal to $-5$, so the arrow points to the left (towards smaller numbers).

Answer:

Closed circle on -5 and arrow pointing to the left.