Question

Which of the following points is a solution to the system of inequalities below?

Y>3x-1
(1,0) (0,1) (2,1) (1,1)

Answer 1

(0, 1)

Explanation:

y > 3x - 1

When x = 0: y > (3 x 0) - 1 ⇒ y > -1

When x = 1: y > (3 x 1) - 1 ⇒ y > 2

When x = 2: y > (3 x 2) - 1 ⇒ y > 5

Therefore the only point that satisfies this is (0, 1)

Answer 2

• (0, 1)

Explanation:

Attached is the graphical solution.

We can see one point is within the shaded area - (0, 1), all the others are outside.