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Solve and graph the inequality

Solve and graph the inequality-example-1
User Guiweb
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2 Answers

4 votes
To solve this compound inequality, solve 2 < 2n + 20.
You should get -9 < n (n > -9)

Then solve the right side of the compound inequality 2n + 20 <= 4.
You should be n<= -8

When you graph this on the number line, you put an open dot on the -9 and a closed dot on the -8 and connect the two points with a line. That mean n is greater than -9 and less than or equal to -8.


User RonnieDickson
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8.1k points
5 votes
Simple....

you have:
2\ \textless \ 2n+20 \leq 4

--->>>What you want to do is move all the terms not containing n from the center section of the interval inequality-->>>


-9\ \textless \ n \leq -8

On the graph it starts with the circle point filled in at -8(*****) and a circle unfilled at -9(°°°°°°).

Thus, your answer.

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