Respuesta :
To match each inequality with its corresponding line graph, we will analyze the given inequalities and their representations on a graph.
1. Inequality: -x - 5 ≤ -2
- This inequality represents a shaded region where x is less than or equal to 3.
- The line graph for this inequality would be a solid line to the left of x = 3.
2. Inequality: 6 + x ≤ 3
- This inequality represents a shaded region where x is less than or equal to -3.
- The line graph for this inequality would be a solid line to the left of x = -3.
3. Inequality: x - 4 < -7
- This inequality represents a shaded region where x is less than -3.
- The line graph for this inequality would be a dashed line to the left of x = -3.
By matching the characteristics of each inequality with the representation on a line graph, we can accurately pair each inequality with its corresponding graph:
1. Inequality: -x - 5 ≤ -2
Line graph representation: Solid line to the left of x = 3
2. Inequality: 6 + x ≤ 3
Line graph representation: Solid line to the left of x = -3
3. Inequality: x - 4 < -7
Line graph representation: Dashed line to the left of x = -3
By understanding the inequalities and their graphical representations, we can effectively match each inequality to its appropriate line graph.
