Question

1. which graph represents the solution to $x leq -2$?

a closed circle at -2 with shading to the left
b. open circle at -2 with shading to the right
c. open circle at -2 with shading to the left
d. closed circle at -2 with shading to the right

Explanation:

• For inequalities like \(x\leq a\), a closed circle is used at \(a\) (since \(a\) is included in the solution set, as \(\leq\) means less than or equal to).
• The direction of shading: For \(x\leq - 2\), we shade to the left of \(-2\) on the number - line because values less than \(-2\) are to the left of \(-2\) on the number - line.

Answer:

A. Closed circle at - 2 with shading to the left