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OpenStudy (anonymous):
Solve 3n + 11 < 17 or -3n > 12. Which is the best description of the solution set?
A. n < 2 or n > -4
B. n < 2 or n < -4
C. n < 2
D. n < -4
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OpenStudy (anonymous):
Remember that when you divide by a negative, the inequality flips.
So -3n > 12 => n < -4.
That elliminates all but 2 possibilities. :)
OpenStudy (anonymous):
\[3n+11<17\]
\[3n<6\]
\[n<2\]
or
\[-3n>12\]
\[n<-4\]
OpenStudy (anonymous):
OR means one or the other or both, so
\[n<2\]
OpenStudy (anonymous):
so c or d?
OpenStudy (anonymous):
c
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OpenStudy (anonymous):
because if you are less than -4 you are certainly less than 2
OpenStudy (anonymous):
oh.
OpenStudy (anonymous):
that is the set of numbers less than -4 is contained in the set of numbers less than 2
OpenStudy (anonymous):
again in math OR means one or the other or both.
OpenStudy (anonymous):
how c?
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OpenStudy (anonymous):
for example 1 is not less than -4 but 1 IS less than 2, so the statement 1 is less than -4 OR 1 is less than 2 is a true statement.
OpenStudy (anonymous):
ooooooh thx i get it alote better now :)
OpenStudy (anonymous):
if the question said AND rather than OR you would have to pick d
OpenStudy (anonymous):
good!
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