Question

Which ordered pair is a solution to the system of inequalities?

y < 3x
y < 5



A.
(–12, 50)

B.
(9, 4)

C.
(1, 3)

D.
(4, 10)

Answer 1

B (9,4)

Explanation:

See the attached graph. The goal is to find an ordered pair that meets both inequalities. The colored areas show the valid points for each equation. The area where the two overlap are the darker shade (bottom right). We can see that one point, B(9,4) is solidly in the darker area. It satisfies both inequalities.

We should note that point C(1,3) is right on a line on inequality. Since the inequalities are both "Less than" and not "Less than or equal to," this point does not meet one of the inequalities.