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Question

The number of integral value(s) of x that satisfying the inequality (2x2)3(x3)5(x+1)(x23x4)0 is

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Solution

(2x2)3(x3)5(x+1)(x23x4)0
(x22)3(x3)5(x+1)(x+1)(x4)0
(x+2)3(x2)3(x3)5(x+1)2(x4)0
x[2,1)(1,2][3,4)
Integers are 0,1,3

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