Question

when does the sign switch for an equality problem? when does >= switch to <=?

Answer 1

When you `multiply` or `divide` a value across the inequality.

Answer 2

Example:\[\Large\rm -3x\le 6\]Dividing by -3 means we have to also flip the sign,\[\Large\rm x\ge \frac{6}{-3}\]
\[\Large\rm x\ge-2\]

Answer 3

so for this one would it stay the same

-2(x+3) >= 8?

Answer 4

In order to solve for x, a good first step would be to divide both sides by -2.

Answer 5

In that case, we're dividing a negative across an inequality, yes?

Answer 6

So noooo :O it wouldn't stay the same.
It would flip, yah? :)

Answer 7

yaaassss thank you!

Answer 8

might have more questions for you!