Question

Which region represents the solution to the given system of inequalities?

Answer 1

Consider, pls, this option:
a) for y≥2x-3 it is A and C regions;
b) for y≤-x+2 it is B and C regions;
c) from both it is C region.

Answer 2

answer : option C

y>=2x-3

y<=-x+2

The graph of green line is y>=2x-3. We have >= symbol so we shade up.

The solution for this inequality is region A and C

The graph of blue line is y<=-x+2. We have <= symbol so we shade down.

The solution for this inequality is region C and B

We combine both solutions

The common shaded part for both inequality is region C

So region C represents the solution to this system of inequalities