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Solve for x: -¾ x + 2(-x+ 3) < 10I need work to be shown. I`m so confused on how I...

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b-bug3411 | Student, Grade 9 | eNoter

Posted April 24, 2012 at 6:33 PM via web

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Solve for x: -¾ x + 2(-x+ 3) < 10

I need work to be shown. I`m so confused on how I am to work the <10 side so if someone could please solve this for me that would be great:)

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted April 24, 2012 at 6:54 PM (Answer #1)

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You need to open the brackets such that:

`-(3x)/4 - 2x + 6 lt 10`

You need to move all terms to the left side such that:

`-(3x)/4 - 2x + 6 - 10 lt 0`

You need to bring all terms to a common denominator such that:

`-3x - 8x - 16 lt 0`

You need to collect like terms such that:

`-11x lt 16 =gt x gt -16/11`

Hence, all the value of `x in (-16/11,oo)`  check the given inequality.

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