59.The solution set of the inequation x+11\x-3>0
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Given : (x + 11) /(x - 3) > 0
To Find : value of x
Solution:
(x + 11) /(x - 3) > 0
x - 3 ≠ 0
=> x ≠ 3
(x + 11) /(x - 3) > 0
iff (x + 11) and (x - 3) > 0
or (x + 11) and (x - 3) < 0
(x + 11) and (x - 3) > 0
=> x > -11 and x > 3
=> x > 3
x ∈ ( 3 , ∞)
(x + 11) and (x - 3) < 0
=> x < -11 , x < 3
=> x < - 11
x ∈ ( ∞ , -11)
x ∈ ( ∞ , -11) ∪ ( 3 , ∞)
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