Algebra-1

To determine which graph represents the inequality -5 ≤ x < 4, we need to understand what this inequality means and how it is represented on a number line.

 

-5 ≤ x < 4 means that x must be between -5 and 4, including -5 but not including 4. On a number line, this is represented by: A line segment starting at -5 and ending at 4, with a closed circle at -5 and an open circle at 4.

 

To compare the given graphs:

Graph A

The graph shows a range between -5 and 4, with closed circles at both -5 and 4. This indicates that x can be any number from -5 and 4, inclusive of both -5 and 4.

This graph represents -5 ≤ x ≤ 4.

 

Graph B

The graph shows a range between -5 and 4, with open circles at both -5 and 4. This indicates that x can be any number from -5 and 4, excluding b...