2014
Mathematics
67ca00ce0c643c71d77dee1f
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 < 1THIS WEEK's
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