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Mathematics 8 Online
OpenStudy (anonymous):

Which of the following is a solution of the compound inequality -1 < 2n + 1 < 5?

OpenStudy (anonymous):

1. -1 < n < 5 2. n > 2 or n < -1 3. -1 < n < 2 4. n < -2 or n > 4

jimthompson5910 (jim_thompson5910):

I'll get you started -1 < 2n + 1 < 5 -1-1 < 2n + 1-1 < 5-1 ... Subtract 1 from all sides. -2 < 2n + 0 < 4 -2 < 2n < 4

OpenStudy (anonymous):

okaay, and then what? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

well you want to get n all by itself

jimthompson5910 (jim_thompson5910):

how do you do that

OpenStudy (anonymous):

no clue :/

jimthompson5910 (jim_thompson5910):

2n means 2 times n

jimthompson5910 (jim_thompson5910):

how do we undo the "2 times" part

OpenStudy (anonymous):

divide?

jimthompson5910 (jim_thompson5910):

by what

OpenStudy (anonymous):

2?

jimthompson5910 (jim_thompson5910):

so you divide all sides by 2 to get

jimthompson5910 (jim_thompson5910):

-2 < 2n < 4 -2/2 < 2n/2 < 4/2 -1 < 1n/1 < 2 -1 < 1n < 2 -1 < n < 2

OpenStudy (anonymous):

ohhh wow, thx!

jimthompson5910 (jim_thompson5910):

yw

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