-3y<15? what is the inequality?

For the inequality, -3y < 15 , the goal is to isolate 'y'. Thus, to separate the 'y' and have it on its own, both sides must be divided by -3.

 

HOWEVER

 

Dividing or multiplying by a negative number also flips the sign! Thus, I personally find it easier to do the negative first, so that I don't lose track of the sign and get an incorrect answer. This makes the equation:

 

3y > -15

 

Now, it is easier to focus on one thing rather than two.

 

3y/3 > -15/3

 

Which turns into:

 

y > -5

 

That is your answer.