SOLUTION: If the equation is being divided by a number after being solved, what do i need to do to isolate the variable? Example: (w+3)/2>6-3 How would I get isolate the variable?

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Question 166640: If the equation is being divided by a number after being solved, what do i need to do to isolate the variable?
Example: (w+3)/2>6-3
How would I get isolate the variable?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28w%2B3%29%2F2%3E6-3 Start with the given inequality.


%28w%2B3%29%2F2%3E3 Combine like terms.


w%2B3%3E6 Multiply both sides by 2.


w%3E6-3 Subtract 3 from both sides.


w%3E3 Combine like terms on the right side.


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Answer:

So the answer is w%3E3


So the answer in interval notation is


Also, the answer in set-builder notation is


Here's the graph of the solution set



Note: there is an open circle (which excludes the endpoint) at w=3