SOLUTION: Four times the sum of a number and 6 is at least 6 times the same number less 14.for what numbers is this true?
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Question 740097: Four times the sum of a number and 6 is at least 6 times the same number less 14.for what numbers is this true?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
EXPLANATION OF THE INEQUALITY SET-UP:
(Understand the explanation, but do not include in your homework, unless you are sure the teacher wants to see all of it)
= the number
= the sum of the number and 6
= four times the sum of the number and 6
= 6 times the number
= 6 times the number less 14
is at least means that
is equal to or greater than
We write that as
THE SOLUTION:
(after applying the distributive property on the left side)
(after subtracting 4x from both sides)
(after adding 14 to both sides)
(after performing indicated)
Then dividing both sides by 2, you get:
or
(You may want to show less steps and explanations in the solution, according to what the teacher expects from you)
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