Algebra-1

To determine which graph represents “x is no more than 8”, we need to understand what this inequality means and how it is represented on a number line.

 

“x is no more than 8” can be represented as x ≤ 8 means that x includes 8 and all numbers less than 8. On a number line, this is represented by: A line with a closed circle at 8 and shading to the left.

 

To compare the given graphs:

Graph A

There is an open circle at 8 and the shading extends to the right.

This represents x > 8, as it includes all numbers greater than 8 but not 8 itself.

 

Graph B

There is a closed circle at 8 and the shading extends to the right.