Algebra-1

To determine which graph represents the inequality x ≤ -3, we need to understand what this inequality means and how it is represented on a number line.

 

x ≤ -3 means that x includes -3 and all numbers less than -3. On a number line, this is represented by: A line with a closed circle at -3 and shading to the left.

 

To compare the given graphs:

Graph A

There is an open circle at -3 and the shading extends to the right.

This represents x > -3, as it includes all numbers greater than -3 but not -3 itself.

 

Graph B

There is a closed circle at -3 and the shading extends to the right.