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I don't think it's C. Can you show your work and we'll see where the error is?
Yes, Hold on one sec.
In the last step, you divided both sides of the inequality by -4. What do you have to do when you multiply or divide by a negative number?
(I can't help but notice that you didn't write the inequality symbol in that step anymore, lol)
:) Thats because the only thing I don't understand is when and when not switch the direction of the sign. I can get the answer, I just don't know when to switch the sign,
OK, let's get you over that little hump. :) Solving an inequality is JUST LIKE solving an equation. the only thing you need to remember is that, if you MULTIPLY or DIVIDE by a NEGATIVE NUMBER, then you must SWITCH THE DIRECTION of the sign. That's it! Switch, ONLY if, you mult or divide by a negative. NOT if you add or subtract stuff. NOT if you mult or divide by a POSITIVE number. WHY? think about it: -3<4 Now multiply both sides by -2: 6>-8 right??? But: if I have -3<4 and I multiply by +2, I just get -6<8. Still true. Try it with some different simple numbers, the ONLY time the sign needs to flip, is if you.... ....what?..... .... SAY IT WITH ME: MULTIPLY OR DIVIDE BY A NEGATIVE NUMBER. :)
So then this one would be B, because I'm dividing 24 by a negative 4?
Sorry... stepped away from the computer. :) Yes, it would be B. Not so much "because you divided by a negative 4", but because that's how the solution works out. What I mean is, notice that if you ADDED the 12r to both sides and SUBTRACTED 52 to both sides, then you would have never had a negative coefficient on the r, and would have divided by +4 in the final step, so no flipping of the inequality. BUT, the r term would be on the other side of the inequality, so you would still end up with the same solution, r>=-6. E.g., just from a strategic point of view, sometimes the side you move the variable terms to can avoid that negative division. But it won't change the answer! If I have: 2x-3>-4x+1 and I subtract the 2x and subtract the 1: -4>-6x Now divide by negative so flip the sign: 4/6
Now instead if I have:
2x-3>-4x+1 and I add the 4x and add the 3:
See, same thing, and I never had to flip!
Thanks Debbie! :)
You're welcome, happy to help. :)