SOLUTION: solve the inequality -4y+6<-14. i think it is y>5 but i am not sure that i have the sign pointing the right direction. if it's not please help me with the right answer.

Click here to see ALL problems on Rational-functions

Question 428167: solve the inequality -4y+6<-14. i think it is y>5 but i am not sure that i have the sign pointing the right direction. if it's not please help me with the right answer.
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Yes, your answer is correct. In order to get rid of the minus sign in the y term, you had to multiply by a negative number ( in this case) so you had to reverse the sense of the inequality, changing from less than to greater than.

Here's how to remind yourself that this makes sense:

2 is certainly less than 3, that is

Now multiply both sides by -1:

Nope, not less than any more -- minus 2 is GREATER than minus 3:

John

My calculator said it, I believe it, that settles it