Algebra-1

To determine which graph represents the inequality 0 < x ≤ 9, we need to understand what this inequality means and how it is represented on a number line.

 

0 < x ≤ 9 means that x must be between 0 and 9, not including 0 but including 9. On a number line, this is represented by: A line segment starting at 0 and ending at 9, with an open circle at 0 and a closed circle at 9.

 

To compare the given graphs:

Graph A

The graph shows a range between 0 and 9, with closed circles at both 0 and 9. This indicates that x can be any number from 0 and 9, inclusive of both 0 and 9.

This graph represents 0 ≤ x ≤ 9.

 

Graph B

The graph shows a range between 0 and 9, with open circles at both 0 and 9. This indicates that x can be any...