Question

1. if a solution involves $x$ values less than or equal to -3, how is this inequality represented graphically?

a. closed circle at -3, shading to the left
b. closed circle at -3, shading to the right
c. open circle at -3, shading to the left
d. open circle at -3, shading to the right

Explanation:

1. A closed circle is used on a number line when the value is included in the solution (due to the "less than or equal to" condition, so -3 is part of the solution).
2. Values less than -3 lie to the left of -3 on a standard number line, so the region to the left is shaded.

Answer:

a. Closed circle at -3, shading to the left