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Binomial Theorem

Question

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Solve the following inequality for real x:

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Solution

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Multiply by L.C.M. 60 of 4, 3 and 5, we have

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space space 15 straight x less than space 20 space left parenthesis 5 straight x minus 2 right parenthesis minus 12 space left parenthesis 7 straight x minus 3 right parenthesis space rightwards double arrow space 15 straight x space less than space 100 straight x minus 40 minus 84 straight x plus 36

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15x - 100x + 84x < - 40 + 36

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-x < -4

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x > 4 (Divide by -1)

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straight x space element of space left parenthesis 4 comma space infinity right parenthesis

Hence, the solution set is

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