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# help

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What is the smallest number x satisfying $$\frac{3}{2}-2x\le4x-(5x+6)$$? Express your answer as a fraction in simplest form.

Jan 17, 2019

### 1+0 Answers

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+101137
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3/2 - 2x ≤ 4x - (5x + 6)

3/2 - 2x ≤  4x - 5x - 6

3/2 - 2x ≤ -1x - 6         rearrange as

3/2 + 6 ≤ x

7.5 ≤ x

So.....7.5   is the smallest number  =   15 / 2

Jan 17, 2019
edited by CPhill  Jan 17, 2019