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Question

Solve:
x4<5x23(7x4)5.

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Solution

We are given linear inequality
x4<5x23(7x4)5
So, x4<(5x2)3(7x4)5
0<(5x2)3(7x4)5x4
20(5x2)12(7x4)15x60>0
100x4084x+4815x>0
x+8>0
So, x(8,)

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