Algebra-1

To determine which graph represents “x is at most 7”, we need to understand what this inequality means and how it is represented on a number line.

 

“x is at most 7” can be represented as x ≤ 7 means that x includes 7 and all numbers less than 7. On a number line, this is represented by: A line with a closed circle at 7 and shading to the left.

 

To compare the given graphs:

Graph A

There is an open circle at 7 and the shading extends to the right.

This represents x > 7, as it includes all numbers greater than 7 but not 7 itself.

 

Graph B

There is a closed circle at 7 and the shading extends to the right.