Algebra-1

To determine which graph represents the inequality x ≤ 6, we need to understand what this inequality means and how it is represented on a number line.

 

x ≤ 6 means that x includes 6 and all numbers less than 6. On a number line, this is represented by: A line with a closed circle at 6 and shading to the left.

 

To compare the given graphs:

Graph A

There is an open circle at 6 and the shading extends to the right.

This represents x > 6, as it includes all numbers greater than 6 but not 6 itself.

 

Graph B

There is a closed circle at 6 and the shading extends to the right.