Math: 830120b0

ID: 830120b0

(SAT Suite Question Bank > Find Questions > Assessment: SAT + Test: Math + Domain: Algebra)

Comment: Substitute or graph. As long as you do not go too fast, this should be an easy level 3 (Hard) question.

Method 1: The second inequality tells us exactly how to interpret the unknown, coefficient and all, in the first inequality. Substitute and solve.

y > 2x - 1

y > (5) - 1

y > 4

The correct answer is (B).

Method 2: Graph using Desmos. As long as you can type accurately, you will get the correct answer.

The purple region that shows the area of overlap between the two inequalities begins at y > 4, so the correct answer is (B).

Method 3: Even solving for x in the second inequality and then substituting into the first inequality should lead quickly to the correct answer.

2x > 5

x > 5/2

y > 2x - 1

y > 2(5/2) - 1

y > 5 - 1

y > 4

The correct answer is (B).