8
QuizMultiple Choice

Systems of Equations and Inequalities — Test

Question 8 • Mathematics I

Which ordered pairs make both inequalities true? Choose two correct answers. y is less than 5 x plus 2 y is greater than or equal to 1 half x plus 1

Answer
A
0 comma 2
B
2 comma 2
C
2 comma negative 1
D
1 comma 2
E
negative 1 comma 3

Explanation

Test each pair in both inequalities, y < 5x + 2 and y ≥ ½x + 1. For (2, 2), the bounds are 12 and 2, so 2 < 12 and 2 ≥ 2; both are true. For (1, 2), the bounds are 7 and 1.5, so 2 < 7 and 2 ≥ 1.5; both are true. Thus the correct choices are B, (2, 2), and D, (1, 2).

AI-written and checked against the verified answer.

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