Math

True or False:

1. if [w-7]<-3, then w-7>3 (NOTE: In this case "[ ]" indicate absolute value.)

I did:
3+7<w-7<-3+7
10<w<4
So, I think it's False

2. If -4 < -2t + 6 < 10, then 2>t+6>-5

I worked the equation and got:
5>t>-2
So, I think it's False

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  1. 1. correct
    Be definition, |anything| has to be a positive result
    so how can "+something" < -3 ? NO WAY!

    2.
    how about this:

    -4 < -2t + 6 < 10
    subtract -6
    -10 < -2t < 4
    divide by -2, must reverse signs
    5 > t > -2
    add 6 ---> we needed t+6 in the middle
    11 > t+6 > 4
    compare this to their answer of 2 > t+6 > -5
    I conclude they are wrong.

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    posted by Reiny

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