Algebra-1

To determine which graph represents the inequality -3 < x < 2, we need to understand what this inequality means and how it is represented on a number line.

 

-3 < x < 2 means that x must be between -3 and 2, excluding both endpoints. On a number line, this is represented by: A line segment starting at -3 and ending at 2, with open circles at both -3 and 2 to indicate that these endpoints are excluded.

 

To compare the given graphs:

Graph A

The graph shows a range between -3 and 2, with closed circles at both -3 and 2. This indicates that x can be any number from -3 and 2, inclusive of both -3 and 2.

This graph represents -3 ≤ x ≤ 2.

 

Graph B

The graph shows a range between -3 and 2, with open circles at both -3 and 2. This indicates that x can be any number from...