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:
B:
C:
D:
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Correct Answer

B

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.

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