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Question

Solve the following inequality:
2x23x5<x1.

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Solution

2x23x50
2x25x+2x50
(2x5)(x+1)0
xϵ(,1][52,)
2x23x5<x1
Squarring both sides
2x23x5<x22x+1
x2x6<0
(x3)(x+2)<0
xϵ(2,3)
xϵ(2,1][52,3)

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