SOLUTION: Twice the difference of a number and three is greater than or equal to the number increased by five. Find the solution.

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Question 186838: Twice the difference of a number and three is greater than or equal to the number increased by five. Find the solution.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Twice the difference of a number and three is greater than or equal to the number increased by five" translates to 2%28x-3%29%3E=x%2B5




2%28x-3%29%3E=x%2B5 Start with the given inequality.


2x-6%3E=x%2B5 Distribute.


2x%3E=x%2B5%2B6 Add 6 to both sides.


2x-x%3E=5%2B6 Subtract x from both sides.


x%3E=5%2B6 Combine like terms on the left side.


x%3E=11 Combine like terms on the right side.


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Answer:

So the answer is x%3E=11


This means that 11 or any other larger number will satisfy the statement.