SOLUTION: Could you answer this for me I'm not sure how I got "C is greater than or equal to 6" could you please include the steps? The question was 2(c-4) is less than or equal to 10 - C

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Question 554984: Could you answer this for me I'm not sure how I got "C is greater than or equal to 6" could you please include the steps?
The question was 2(c-4) is less than or equal to 10 - C
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
2(c-4)<= 10-c | distribute the 2 on the left...multiply it by c and by -4
2c-8 <=10-c | add c to both sides and add 8 to both sides
2c+8-8+c<=10-c+c+8
3c<=18 | divide both sides by 3
3c/3<=18/3
c<=6


Check it. Use c=1 which is <= 6.


2(1-4)<=10-1
-6<=9 true.
C>=6 is not the correct answer. Plug in a number from that solution into the original inequality. Call C=10 which is >=6.
2(10-4) <= 10-10
12<= 0 is not true.

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