Question

The origin is contained in the solution set for this system of inequalities

y< 2x + 4
y> -2x - 2
Select one:
O True
O False

Answer 1

O True

Explanation:

If we substitute (x, y) = (0, 0) into both inequalities, we have ...

0 < 2·0 +4 ⇒ 0 < 4 . . . true

0 > -2·0 -2 ⇒ 0 > -2 . . . true

The point (0, 0) satisfies both inequalities, so is contained in the solution set.