SOLUTION: -6(1+7k) + 7(1+6k)<-2 -6 -42k +7 + 42k < -2 1<2 what am i doing wrong, my Ks went away?

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Question 1060588: -6(1+7k) + 7(1+6k)<-2
-6 -42k +7 + 42k < -2
1<2
what am i doing wrong, my Ks went away?
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

-6(1+7k) + 7(1+6k)<-2
-6 -42k +7 + 42k < -2
1<2
what am i doing wrong, my Ks went away?
- 6(1 + 7k) + 7(1 + 6k) < - 2

- 6 - 42k + 7 + 42k < -2

1 < 2

You didn't do anything wrong. The variable, k went away, but as you can see the final "product" is an INEQUALITY that's TRUE. That's because - 42k + 42k = 0.

This means that you can substitute ANY VALUE for k and it'll be 1. I repeat, regardless of the value you substitute for k, the value on the left side WILL ALWAYS be 1. Try it!!

This means the INEQUALITY has: highlight_green%28matrix%281%2C3%2C+INFINITELY%2C+MANY%2C+SOLUTIONS%29%29