Question

select the correct answer from the drop-down menu.
the region in the graph that represents the solution of the system of linear inequalities $y \geq 2x - 3$ and $y \leq -x + 1$ is

Explanation:

Step1: Test point for $y\geq2x-3$

Use test point $(0,0)$: $0 \geq 2(0)-3 \implies 0\geq-3$, true. So shade region above line $y=2x-3$.

Step2: Test point for $y\leq -x+1$

Use test point $(0,0)$: $0 \leq -(0)+1 \implies 0\leq1$, true. So shade region below line $y=-x+1$.

Step3: Locate overlapping region

The overlapping shaded area is region A, satisfying both inequalities.

Answer:

A. Region A