Posted by **robert** on Wednesday, December 26, 2007 at 8:18pm.

Solve the compund inequality and graph the solution.

-4<t+2<4

First I did t+2>-4 and I got t>-2 and I did t+2<4 and i got t<2. Then I graphed it and I dot an open dot on 2 and -2. Is this right?

-1<1/2x<1

I did 1/2x>-1 and i got x>-2 and i did 1/2x<1 and i got x<2. I graphed it and put a open dot on 2 and -2. Is this right?

- math -
**robert**, Wednesday, December 26, 2007 at 9:40pm
no one is answering.

- math -
**Reiny**, Thursday, December 27, 2007 at 12:32am
You made a small arithmetic error in

t+2>-4

Should have been t > -6

Actually the easiest way to do these questions is to leave the compound inequality as it it and simply perform operations to isolate the variable between the two inequality signs.

In this case:

-4<t+2<4 , now subtract 2 from each of the 3 parts

-4-2 < t+2-2 < 4-2

-6 < t < 2

Place an open dot on the -6 and the 2 and join with a solid line

- math -
**robert**, Thursday, December 27, 2007 at 3:48pm
is the second queston right?

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