Question

solve the system of two linear inequalities graphically. step 3 of 3: find the region with points that satisfy both inequalities. select the region you wish to be shaded: a b c d x > - 7 y ≥ - 4

Explanation:

Step1: Analyze the inequality \(x > - 7\)

The line \(x=-7\) is a vertical line. The inequality \(x > - 7\) represents all the points to the right of the vertical line \(x = - 7\) (the line \(x=-7\) is dashed since the inequality is strict).

Step2: Analyze the inequality \(y\geq - 4\)

The line \(y = - 4\) is a horizontal line. The inequality \(y\geq - 4\) represents all the points on or above the horizontal line \(y=-4\) (the line \(y = - 4\) is solid since the inequality is non - strict).

Step3: Find the intersection region

The region that satisfies both \(x > - 7\) and \(y\geq - 4\) is the region above the line \(y=-4\) and to the right of the line \(x = - 7\). This corresponds to region D on the graph.

Answer:

D