SOLUTION: one-third of a number is added to 5/2 of the same number. the result is less or equal to the sum of two and half the number. find the range of values of the number.

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Question 1037933: one-third of a number is added to 5/2 of the same number. the result is less or equal to the sum of two and half the number. find the range of values of the number.
Answer by Aldorozos(172) About Me  (Show Source):
You can put this solution on YOUR website!
If we assume the sum of two and half the number means 2x+(1/2)x then the sum of two and half the number is 2+1/2 of the number which is the same as 5/2 of the number which is 2.5x
Now we have
(1/3)x + (5/2)x is less or = 2.5x
We know that (5/2)x is the same as 2.5 If you divide (5/2) you get 2.5
Therefore
(1/3)x + 2.5x is less or = 2.5x
We cancel out 2.5x from both sides of the equation
(1/3)x is less or equal to zero
(1/3)x <0 If we multiply both sides by three we get x< or equal to zero.
THis means that x should be zero or less. In other words x should be a negative number.