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solve and graph the inequality -6_<3(x+5)_<18?  the equation -3|6n-2|+5=8?...

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quddoos | (Level 1) Valedictorian

Posted September 6, 2013 at 12:44 PM via web

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solve and graph the inequality -6_<3(x+5)_<18?  the equation -3|6n-2|+5=8?  & label each statements as true or false. if false correct the underline portion. (1)if 3<x,then 3+y<x+y (2)if |w-7| <-3, then w-7>-3 or w-7<3 (3)if -4<-2t+6<10, then 2>t+6>-5 (4) if |y+8|+2=6, then y+8=_+4?

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aruv | High School Teacher | (Level 2) Valedictorian

Posted September 6, 2013 at 12:59 PM (Answer #1)

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`-6<3(x+5)<18`

`-6<3x+15<18`

`-6-15<3x<18-15`

`-21<3x<3`

`(-21)/3<x<3/3`

`-7<x<1`    which is true.

2. `-3|6n-2|+5=8`

`-3|6n-2|=8-5`

`-3|6n-2|=3`

`|6n-2|=3/(-3)`

`|6n-2|=-1`

If `(6n-2)>=0` then

6n-2=-1

6n=-1+2

6n=1

n=1/6

If `(6n-2)<0` then

`-(6n-2)=-1`

`-6n+2=-1`

`-6n=-1-2`

`-6n=-3`

`n=(-3)/(-6)`

`n=1/2`

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