Question

which area should be shaded to represent the solution set of this system of inequalities?

Answer 1

the in equality is

2x + y < 1

first, check on the origin,

put x =0 and y = 0

2(0) + 0 < 1

0 < 1

so it satisfying the expression so the answer is an area that is containing the origin in its shaded are, and that is Area 2.