Question bank / Linear inequalities in one or two variables

Math · AlgebraEasy

Which point (x,y)(x, y) is a solution to the inequality y>2x+1y > 2x + 1?

A

(2,5)(2, 5)

B

(0,1)(0, 1)

C

(1,4)(1, 4)

D

(3,6)(3, 6)

Show answer and explanation

Answer: C

Test each point. For (1,4)(1, 4): 2(1)+1=32(1) + 1 = 3, and 4>34 > 3 is true. For (2,5)(2, 5) and (0,1)(0, 1) the two sides are equal, and for (3,6)(3, 6), 6>76 > 7 is false.

Choices A and B lie on the boundary line, but the strict inequality excludes boundary points.

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