SOLUTION: Half a number, decreased by 4 is between Two and Three. Find all numbers

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Question 350665: Half a number, decreased by 4 is between Two and Three. Find all numbers
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Half a number, decreased by 4 is between Two and Three" means that 2%3C=x%2F2-4%3C=3


2%3C=x%2F2-4%3C=3 Start with the given compound inequality.


2%2B4%3C=x%2F2%3C=3%2B4 Add 4 to all sides.


6%3C=x%2F2%3C=3%2B4 Combine like terms on the left side.


6%3C=x%2F2%3C=7 Combine like terms on the right side.


2%2A6%3C=x%3C=2%2A7 Multiply all sides by 2


12%3C=x%3C=14 Multiply.


So the number is between 12 and 14 which makes the possible numbers to be 12, 13, or 14.


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Jim