Question:
x +3/x-2>1/2
Answer:
Given,
(x + 3)/(x - 2) > 1/2
=> 2(x + 3) > x - 2
=> 2x + 6 > x - 2
=> 2x - x > -2 - 6
=> x > -8
=> x ∈ (-8, ∞)
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Given,
(x + 3)/(x - 2) > 1/2
=> 2(x + 3) > x - 2
=> 2x + 6 > x - 2
=> 2x - x > -2 - 6
=> x > -8
=> x ∈ (-8, ∞)