What is the solution of frac x - 5 x 3 lt -1 - JAMB Mathematics 2014 Question
What is the solution of (\frac{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
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Correct Option: A
Consider the range -3 < x < -1
= { -2, -1, 0}, for instance
When x = -2,
(\frac{-2 - 5}{-2 + 3} < -1)
(\frac{-7}{1} < -1)
When x = -1,
(\frac{-1 - 5}{-1 + 3} < -1)
(\frac{-6}{2} < -1)
= -3 < -1
When x = 0,
(\frac{0 - 5}{0 + 3} < -1)
(\frac{- 5}{3} < -1)
Hence -3 < x < 1
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