passpadi

2014

Mathematics

JAMB

What is the solution of x−5/x+3 <−1?

A.

=-3 < x < 1

B.

x < -3 or x > 1

C.

-3 < x < 5

D.

x < -3 or x > 5

Correct Answer: =-3 < x < 1

Explanation

Consider the range -3 < x < -1 = { -2, -1, 0}, for instance When x = -2, (−2−5)/(−2 + 3) < −1 −7/1 < −1 When x = -1, (−1−5)/(−1+3) <−1 −6/2 < −1 = -3 < -1 When x = 0, (0−5)/(0 + 3) < −1 −5/3 < −1 Hence -3 < x < 1

Consider the range -3 < x < -1 = { -2, -1, 0}, for instance When x = -2, (−2−5)/(−2 + 3) < −1 −7/1 < −1 When x = -1, (−1−5)/(−1+3) <−1 −6/2 < −1 = -3 < -1 When x = 0, (0−5)/(0 + 3) < −1 −5/3 < −1 Hence -3 < x < 1
passpadi
©2023 Passpadi. All rights reserved.