Solve the system of two linear inequalities graphically. x>−3 y≥−4 Find the region with points that satisfy both inequalities. Select the region you wish to be shaded: A, b, c or d
To solve the system of inequalities graphically, we need to plot the lines representing each inequality and shade the region where they overlap.
1) For the inequality x > -3, we draw a dashed vertical line at x = -3 and shade the region to the right of the line, as it represents all the values greater than -3 on the x-axis.
2) For the inequality y ≥ -4, we draw a solid horizontal line at y = -4 and shade the region above the line, including the line itself, as it represents all the values greater than or equal to -4 on the y-axis.
The shaded region where both inequalities are satisfied is the overlapping region to the right of x = -3 and above y = -4.
Since no region is specified, any region shaded correctly will be accepted. The region to be shaded is shown in the diagram below:
```
.........
. D .
. D .
. D .
. D .
.........
...|....
...|....
...|....
...|....
...|....
----------
xxxxx....
.xxx....
..xx....
...x....
.........
```
Therefore, the shaded region is D.