Question

Solve the compound inequality 30 < 10u < 120.

3 < u < 4
3 > u > 12
3 > u > 4
3 < u < 12

Answer 1

Remember we want to get "u" all by itself. Since we have 10u in the middle, dividing the entire inequality by 10 will give us u all by itself. Since 10 is positive we don't need to switch any inequality signs. So, after you divide everything by 10 you'll have your answer

Answer 2

so A?

Answer 3

no, it wouldn't be A, because 120 divided by 10 isn't 4. When we divide the entire thing by 10 it'll look like this:
\[\frac{ 30 }{ 10 } < \frac{ 10u }{ 10 } < \frac{ 120 }{ 10 }\]

Answer 4

oh so D

Answer 5

Yes, exactly.

Answer 6

thxs!

Answer 7

You're welcome, glad I could help