SOLUTION: -27 &#8804; -4c + 5 < -3

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Question 129997: -27 ≤ -4c + 5 < -3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!


-27%3C=-4c%2B5%3C-3 Start with the given inequality





-32%3C=-4c%3C-8 Subtract 5 from all sides






8%3E=c%3E2 Divide every side by -4 to isolate c. Remember, dividing every side of an inequality by a negative number flips the inequality signs




2%3C=c%3C8 Rearrange the inequality.


So the solution in interval notation is: [2,8)


Now let's graph the solution set



Note: at c=2 there is a closed circle (which means this point is included) and at c=8 there is a open circle (which means this point is excluded)