SOLUTION: May I have some help with this inequality? Solve the linear inequality. Express the solution using interval notation. 5 < -2x + 9 &#8804; 9

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Question 121577: May I have some help with this inequality?
Solve the linear inequality. Express the solution using interval notation.
5 < -2x + 9 ≤ 9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!


5%3C-2x%2B9%3C=9 Start with the given inequality





-4%3C-2x%3C=0 Subtract 9 from all sides






2%3Ex%3E=0 Divide every side by -2 to isolate x. Remember, dividing every side of an inequality by a negative number flips the inequality signs




0%3Cx%3C=2 Rearrange the inequality.


So the solution in interval notation is: (0,2]


Now let's graph the solution set



Note: at x=0 there is a open circle (which means this point is excluded) and at x=2 there is a closed circle (which means this point is included)