HELP!
Explain why you reverse the inequality sign when you multiply or divide both sides of an inequality by a negative number.

Question

shreenithaa · Answer

i just need the explanation

amistre64 · Answer

hmm, what would you expect to happen when you reverse the direction of a number?

shreenithaa · Answer

you would expect it to go to the opposite side?

amistre64 · Answer

lets see

-3 < 5    but when we multiply both sides by a negative, we are reversing the order of the number, 

instead of 3 to the left, -(-3) is 3 to the right
instead of 5 to the right, -(5) is 5 to the left

3 < -5 is simply not accurate

shreenithaa · Answer

ooooh thnx

amistre64 · Answer

when we 'switch' the direction of the number, the direction of the inequality is affected.

we can make one rule and say it works for the = sign as well ... seeing that reversing an = sign just produces the same symbol again.

shreenithaa · Answer

that makes more sence i know how to do it but i just needed the explanation thank you

amistre64 · Answer

good luck :)