help with algebra problem

**wwinston** · February 11th 2011, 06:39 PM

!10x-7!>8 The solution of this inequality consists of one or more of the intervals
(-infinity,A) , (A,B) , and (B, Infinity) where A>B

!=absolute bars..couldnt find em on the computer

Find A = ?
Find B = ?

**Prove It** · February 11th 2011, 06:41 PM

Hint: $\displaystyle |X| > a$ is equivalent to $\displaystyle X < -a$ and $\displaystyle X > a$ .

**wwinston** · February 11th 2011, 06:44 PM

Originally Posted by Prove It

Hint: $\displaystyle |X| > a$ is equivalent to $\displaystyle X < -a$ and $\displaystyle X > a$ .

i solved for x and i got x < -1/10 or x > 3/2

im just confused about what goes where

**Prove It** · February 11th 2011, 06:50 PM

Originally Posted by wwinston

i solved for x and i got x < -1/10 or x > 3/2

im just confused about what goes where

Correct. Now how can you write $\displaystyle x < -\frac{1}{10}$ using set notation?

How can you write $\displaystyle x > \frac{3}{2}$ using set notation?

**wwinston** · February 11th 2011, 06:53 PM

This is a homework question for an online class.. infinity or -infinity does not work for A or B

**HallsofIvy** · February 12th 2011, 03:51 AM

Originally Posted by wwinston

This is a homework question for an online class.. infinity or -infinity does not work for A or B

And it certainly shouldn't! You were told to use the forms
"(-infinity,A) , (A,B) , and (B, Infinity) where A>B"
Which of the two numbers you got is larger?

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