Question

You must create a lesson that teaches another student how to solve the following inequality: –x + 3 > 7.

Your main mission for this activity is to provide a detailed answer to the question below.

Why must you flip the inequality symbol when you divide by a negative number?

Answer 1

my answer is

In order to solve –x + 3 > 7 you would first want to add x to both sides which would give you 3 > 7 + x. Then you would subtract 7 from both sides, doing that should give you the final product of -4 > x. The only thing you want to be carful of is when you multiply or divide by a negative number. However you can avoid this making sure the coefficient of the variable is positive. That is why we added x on the first step. You could have started by subtracting 3 to both sides and getting –x > 4 but then you would have to change the sign to get x so you have to change the inequality as well and get x < -4.

Does this sound right?

Answer 2

Sounds great :)

Answer 3

Thank you! Do you think I explained it enough?

Answer 4

Ya your explanation is very much convincing.

Answer 5

Thanks! :)

Answer 6

Welcome

Answer 7

Seems legit (;