Question

how to solve –x + 3 > 7 along with why you must flip the inequality sign when dividing by a negative

Answer 1

Let's substitute the inequality sign with the equal sign for a short while so you can work out the answer.

-x+3=7

Solve for -x.

Answer 2

is the answer -x>4

Answer 3

okay. now, you have to flip the inequality sign so it becomes:-

x<-4

do you kind of get it?

Answer 4

Yes, however the reason why you must flip the inequality sign when you multiply by a negative is so:
3<4 is a correct statement right? If we multiply both sides by -1, we get -3<-4. This is not correct and it is for this reason that we flip the sign to make it right: -3>-4.
Does this help?

Answer 5

could you give two examples

Answer 6

Check out this link: http://wiki.answers.com/Q/Why_must_you_flip_the_inequality_symbol_when_you_divide_by_a_negative_number

Answer 7

-x+3>4
Rearrange to get -x>1
Multiply by -1 to get x<-1.
This is an example of flipping the inequality. Make sure you get in the habit of doing it :)

Answer 8

ok ill be right back i have to eat

Answer 9

im back