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Mathematics 24 Online
OpenStudy (anonymous):

30 < 10u < 120.

OpenStudy (anonymous):

what is the question?

OpenStudy (anonymous):

Solve the compound inequality 30 < 10u < 120.

OpenStudy (anonymous):

this means that 10u is greater than 30 can you think of what values of u would solve this?

OpenStudy (anonymous):

4 an up

OpenStudy (anonymous):

good. Now, this also gives another condition. 10u < 100. can you think of values for u that solve this inequality?

OpenStudy (anonymous):

sorry 10u<120

OpenStudy (anonymous):

11 and down

OpenStudy (anonymous):

very good. so u should be 4 and up or 11 and down. So what does this mean for the value of u?

OpenStudy (anonymous):

That is, what is the range of values that u can take to solve this compound inequality?

OpenStudy (anonymous):

I guess

OpenStudy (anonymous):

So the answer would be 3 < u < 12 ?

OpenStudy (anonymous):

okay lets go through this. 4 would solve 10u>30 AND 10u<120, correct? would 5 also solve it? would 10 also solve it? would 20 also solve it?

OpenStudy (anonymous):

yes, very good!

OpenStudy (anonymous):

well done!

OpenStudy (anonymous):

Thanks for the help

OpenStudy (anonymous):

you are welcome :)

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