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MATHEMATICS

JAMB 2021 - Question 16

Mathematics 2021 JAMB Past Questions - Question 16: What is the solution ofx-5/x+3

What is the solution ofx-5/x+3<−1?

A: x < -3 or x > 5

B: -3 < x < 1

C: x < -3 or x > 1

D: -3 < x < 5

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Correct Answer

Explanation

To solve the inequality (x - 5)/(x + 3) < -1, we can follow these steps:1. Multiply both sides of the inequality by (x + 3) to eliminate the denominator: (x - 5) < -1(x + 3)2. Distribute -1 to both terms on the right side: x - 5 < -x - 33. Add x to both sides to isolate the variable: x + x - 5 < -34. Combine like terms: 2x - 5 < -35. Add 5 to both sides: 2x < 26. Divide both sides by 2 to solve for x: x < 1Therefore, the solution to the inequality (x - 5)/(x + 3) < -1 is x < 1.