Solve the inequality 2x + 1 < (3x + 2)/x + 2

[AdminAdministrator]

2x + 1 < (3x + 2)/x + 2

solutio:

we remove bracket
(2x + 1) < (3x +2)/x +2
=(2x + 1)(x + 2)< (3x +2)
=2x^2+5x+2< 3x+2
CLT
=2x^2 +2x>0

[GeatyMember]

2x+1<(3x+2)/x+2

firstly finding the L.C.M
and the L.C.M is x+2

therefore
2x+1(x+2)<3x+2

open the bracket
2x² + 4x + x + 2 < 3x + 2

collect like terms
=2x² + 4x + x - 3x < 2-2
=2x² + 2x < 0
=2(x² + x) < 0

[GeatyMember]

@Paradise u are wrong

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