SOLUTION: solve the inequality 4<-z-4<11. Give the result in set notation and graph it.

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Question 145488This question is from textbook
: solve the inequality 4<-z-4<11. Give the result in set notation and graph it. This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!


4%3C-z-4%3C11 Start with the given inequality





8%3C-z%3C15 Add 4 to all sides






-8%3Ez%3E-15 Divide every side by -1 to isolate z. Remember, dividing every side of an inequality by a negative number flips the inequality signs




-15%3Cz%3C-8 Rearrange the inequality.


So the solution in interval notation is: (-15,-8)


The solution in set notation is


Now let's graph the solution set



Note: at z=-15 there is a open circle (which means this point is excluded) and at z=-8 there is a open circle (which means this point is excluded)