SOLUTION: I would like know know step-by-step how to solve this inequality, q + 12 - 2(q - 22) > 0

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Question 514362: I would like know know step-by-step how to solve this inequality,
q + 12 - 2(q - 22) > 0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

q%2B12-2%28q-22%29%3E0 Start with the given inequality.


q%2B12-2q%2B44%3E0 Distribute.


-q%2B56%3E0 Combine like terms on the left side.


-q%3E0-56 Subtract 56 from both sides.


-q%3E-56 Combine like terms on the right side.


q%3C%28-56%29%2F%28-1%29 Divide both sides by -1 to isolate q. note: Remember, the inequality sign flips when we divide both sides by a negative number.


q%3C56 Reduce.


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Answer:

So the solution is q%3C56