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?

You know that if the symbol is not flipped you will end up with a false statement, but why is that so? Research and brainstorm to come up with this answer. Remember, you are teaching this to another student, so you must include detailed explanations, visuals, and and at least two additional examples.

Answer 1

I would begin with the given inequality:

–x + 3 > 7

–x + 3 + (-3) > 7 +(-3)

-x > 4

Ok so far?

Answer 2

because when the number at the right positive, and then you multiply or divide it by a negative quantity, the number becomes negative, or" smaller". and then, maintain the relationship true, you must change the < or > sign direction. the same applies, when the number on the right is negative. when you multiply or divide it by their number, because positive or "bigger"

Answer 3

Dejeme pensar

Answer 4

aqui a la derecha

Answer 5

He is right.

Answer 6

ok thanks, what about the two examples

Answer 7

SamuelAlden917's example is ok

Answer 8

Thats the one they wanted us to solve in the first place, at the bottom it asks for two additional examples

Answer 9

-x<1
-x>1

Answer 10

-_____-

Answer 11

My point is give two simple examples that make the idea clear.

Answer 12

how are those even examples

Answer 13

Well the example they gave reduced to -x > 4

Answer 14

You could even try -x > -4