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Question

Solve the following inequality:
2(x4)(x1)(x7)1x2

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Solution

=>2(x4)(x2)(x1)(x7)1
=>2(x4)(x2)(x1)(x7)10
=>2(x26x+8)(x28x7)(x1)(x7)0
=>x24x+9(x1)(x7)0
x24x+9 is always positive for all value of x as =1336<0
xϵ(,1)(7,).


1017191_885047_ans_917f15b9953c499796c3360a9464e076.PNG

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