Algebra-1

To determine which graph represents the inequality -6 ≤ x ≤ 8, we need to understand what this inequality means and how it is represented on a number line.

 

-6 ≤ x ≤ 8 means that x must be between -6 and 8, including both endpoints. On a number line, this is represented by: A line segment starting at -6 and ending at 8, with closed circles at both -6 and 8 to indicate that these endpoints are included.

 

To compare the given graphs:

Graph A

The graph shows a range between -6 and 8, with closed circles at both -6 and 8. This indicates that x can be any number from -6 and 8, inclusive of both -6 and 8.

This graph represents -6 ≤ x ≤ 8.

 

Graph B

The graph shows a range between -6 and 8, with open circles at both -6 and 8. This indicates that x can be any number from -6 and 8, excluding both...