Question
Solve the inequality: (3x β 4)/(x + 2) >
1Solution
ATQ,
(3x β 4)/(x + 2) β 1 > 0 [(3x β 4) β (x + 2)]/(x + 2) > 0 (2x β 6)/(x + 2) > 0 2(x β 3)/(x + 2) > 0 Critical points: β2, 3 Sign analysis β positive in (ββ, β2) and (3, β) HenceΒ x < β2 or x > 3
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