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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
avatar+96201 
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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

 

 

cool cool cool

 Jan 17, 2019
edited by CPhill  Jan 17, 2019

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