## anonymous one year ago Solve. http://static.k12.com/bank_packages/files/media/mathml_ef759e1d2ede6cf06179a8fe33dcb0aeee3b0747_1.gif A. r ≤ –32 B. r ≥ –32 C. r ≤ –2 D. r ≥ –2

1. anonymous

These are usually pretty easy. It makes it easier if you pretend that the inequality sign is an equal sign, so: $-\frac{ r }{ 4 }=8$ What would you do to get r by itself?

2. anonymous

take the 4 out?

3. anonymous

Yes ma'am! How would you do that?

4. anonymous

i dont know :/

5. anonymous

Well if you want to cancel out a number, you have to do the opposite. So since its r divided by -4, whats the opposite of division?

6. anonymous

multiplication

7. anonymous

Mhm! With equations the rule is "what you do to one side you must do to the other. So since we multipy by -4, we have to do the same to the other side. So that gives us $-\frac{ r }{ 4 }\times-4 = 8(-4)$ $r= -32$

8. anonymous

Ohh alright, makes more sense to me now, so would it be A?

9. anonymous

Now the rule with inequalities, is that if you ever divide or multiply by a negative, then the sign switches directions. So since we had to multiply by -4, the sign switched from $\le \to \ge$

10. anonymous

So which would it be?

11. anonymous

B :)

12. anonymous

You got it :)

13. anonymous

Thank you !

14. anonymous

My pleasure

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