Question

what happens to the inequality symbol when you do the following to each side.... subtract a negative number

Answer 1

the inequality sign reverses.

Answer 2

why

Answer 3

how do you know that

Answer 4

It's because multiplying (or dividing) by a negative switches that number to the other side of the number line. When both numbers switch relative to zero, they end up on opposites sides of each other.

It's probably easiest to see with regular numbers (i.e. no variables).

Take the statement:
3 > 2

Now if you multiply both sides by -1, you get:
-3 > -2

That would be incorrect unless you switched the sign:
-3 < -2

That makes more sense...

Here's another example:
4 > -1

Multiply by -1 and you'll need to switch the inequality symbol:
-4 < 1

Got it?

Answer 5

ya !

Answer 6

but the question is about subtracting a negative number and not about multiplying!!!!

Answer 7

but i still dont get how subtracting a negative makes it so you change the sign

Answer 8

5 > 3
subtract -5 from both sides
5 - (-5) > 3 - (-5)
10 > 8

so sign does not change

Answer 9

k thanks ! lol

Answer 10

so for the answer i just put the sign doesnt change

Answer 11

and if you divid both sides by a negative you change the sign

Answer 12

yes when you divide or multiply you change sign

Answer 13

k thanks for help