SOLUTION: I am having trouble with Inequalities, Permutations, and Probability. I was not sure what this question fit into, I hope that is alright. I am having trouble solving the inequali

Question 6886: I am having trouble with Inequalities, Permutations, and Probability. I was not sure what this question fit into, I hope that is alright. I am having trouble solving the inequality, -4y + 6<-14? I got it wrong on my homework, I had the answer y>2, Can someone please tell me what I did wrong?
Answer by glabow(165) (Show Source): You can put this solution on YOUR website!
I can't say what you did wrong, but inequalities are similar to equalities in that you can add, subtract, multiply, and divide both sides and still have the same inequality. That is, if a < b and you add 2 to both, a+2 < b+2, etc.
The one thing you can't do is change the sign.
Think of it this way: 2 is less than 3, but -2 is greater than -3.
To show this with inequalities you would write
2 < 3
-2 > -3 [multiplying by -1, which changes the sign]
In your case you can solve
-4y + 6<-14
-4y < -14 - 6 [subtracting 6 from both sides]
-4y < -20
This also means
4y > 20 [multiplying by -1 and changing the relational operator]
y > 5 [dividing both side by 4]
Checking: when y=5, the inequality is not true (-4x5 + 6 = -14 which is NOT LESS than -14).
When y is anything less than 5, the inequality -4y + 6 gets larger than -14 because -4y gets larger.
But when y is anything greater than 5, the inequality gets smaller than -14 because -4y gets smaller.
Perhaps you have a problem with -30 being smaller than -4? Remember, "smaller" means further to the left on the real number line.
RELATED QUESTIONS
i am having trouble with functions. could you please help solve this question? If... (answered by checkley75)

I wasn't sure where to put this because my text is Inequalities, Permutations, and... (answered by CharStar,Levski123)

Hi, my name is Grace Rogers and I am having trouble with my inequalities. I'm not sure... (answered by Fombitz)

I wasn't sure where to put this because my text is Inequalities, Permutations, and... (answered by longjonsilver)

I am stuck on a question on Inequalities, Permutations, and Probibility. I think I know... (answered by glabow)

I am having trouble with this problem... I am not sure how to start or what to... (answered by Alan3354)

Hi! I am having trouble putting the following equation into proper form. My assignment... (answered by jim_thompson5910)

I have been having trouble with this question and I am not sure how to answer it, but it... (answered by pug912)

I am working on Graphing with plots and slopes I am having trouble with this question for (answered by josgarithmetic,MathTherapy)