GCE Mathematics 2022 Objective — Question 37

Question 37 of 50 from the General Certificate of Education (GCE) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

Solve the inequality: (y+2)/4 - (y-1)/3 > 1.

A. y < -10
B. y < -2Correct
C. y > -2
D. y > 10

Explanation

Multiply through by 12: 3(y+2)-4(y-1) > 12, so 3y+6-4y+4 > 12, giving 10-y > 12, -y > 2, y < -2 (the inequality sign reverses when multiplying/dividing by a negative number).

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