JAMB Mathematics 2020 Objective — Question 4

Question 4 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2020 Objective paper, with the correct answer and a full explanation.

List all integer values of x that satisfy the inequality -1 < 2x-5 <= 5.

A. 2, 3, 4, 5
B. 2, 5, 2, 5
C. 3, 4, 5Correct
D. 2, 3, 4

Explanation

-1<2x-5<=5 splits into (i) -1<2x-5 and (ii) 2x-5<=5. From (i): 4<2x, so 2<x. From (ii): 2x<=10, so x<=5. Combined: 2<x<=5. Integer values satisfying this are 3, 4 and 5.

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