Question

Add -2 to both sides of the inequality 6 > 2. Then divide both sides of the inequality "-10 > -20 by -2. Explain in your own words what happens in both examples and when the direction of the inequality symbol is reversed

Answer 1

Let's start with 6>2
True.

Add -2 to both sides:
6-2 > 2-2
4 > 0
True.

Alright, now let's flip the sign like they asked:

4 < 0
False.

Ok, now let's do the second part:

-10 > -20
True.

Divide by -2

-10/-2 > -20/-2
5 > 10
False.

Now flip the sign like they asked:

5 < 10
True.

What you are supposed to gain from this is the realization that when you add or subtract, the equality remains unchanged and if you began with a true statement, you end with a true statement (without the need for changing the sign).

However, when you divide by a negative or multiply, you MUST flip the inequality sign. Pay attention to where I mark statements true or false before and after I operate on them.

Hope this helps.

Answer 2

Does this work for you? Are you understanding?

Answer 3

Yes, thank you so much! I have another one posting...

Answer 4

Ok, I will see what I can do, go ahead and ask away!