Asked by :)
What is the solution to the inequality |2n+5|>1?
A. –3 > n > –2
B. 2 < n < 3
C. n < –3 or n > –2
D. n < 2 or n > 3
I put A! :) Thank you again.
A. –3 > n > –2
B. 2 < n < 3
C. n < –3 or n > –2
D. n < 2 or n > 3
I put A! :) Thank you again.
Answers
Answered by
Steve
(2n+5) > 1
2n > -4
n > -2
-(2n+5) > 1
2n+5 < -1
2n < -6
n < -3
Think of the shape of |x| -- it is a V-shape. So, if |x| > n, it will be where the graph is above the line y=n. That means there will be two intervals, not one. See
http://www.wolframalpha.com/input/?i=%7C2n%2B5%7C+%3E+1
2n > -4
n > -2
-(2n+5) > 1
2n+5 < -1
2n < -6
n < -3
Think of the shape of |x| -- it is a V-shape. So, if |x| > n, it will be where the graph is above the line y=n. That means there will be two intervals, not one. See
http://www.wolframalpha.com/input/?i=%7C2n%2B5%7C+%3E+1
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