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OpenStudy (anonymous):
What is the solution set of |x| < 11?
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OpenStudy (zzr0ck3r):
ok this one is a different property
|a|<b implies -b<a<b
OpenStudy (zzr0ck3r):
no need to write the answers, you got this:)
OpenStudy (anonymous):
a) x < 11
b) x > -11
c) x < -11 or x > 11
d) x > -11 and x < 11
OpenStudy (anonymous):
opps already did haha.
OpenStudy (zzr0ck3r):
ok use the property I showed then tell me what we have
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OpenStudy (zzr0ck3r):
all good:)
OpenStudy (zzr0ck3r):
example
|x| < 4
so
-4<x<4 so
x<4 and x>-4
OpenStudy (anonymous):
wait hold up.. im confused.. i got lost.
OpenStudy (zzr0ck3r):
what part of my example do you not get?
OpenStudy (zzr0ck3r):
its the property of absolute values
|a|<b implies -b<a<b
so you have |x|<11
so -11<x<11
so from this^^^^
x<11 and x>-11
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OpenStudy (zzr0ck3r):
think about what the absolute value is(just play with examples) and you will understand why
OpenStudy (anonymous):
ya this one got me stumped
OpenStudy (zzr0ck3r):
understand now?
OpenStudy (campbell_st):
just graph y = |x| and y = 11
|dw:1371889945675:dw|
look at the graphs, where is |x| < 11
thats the solution.
OpenStudy (anonymous):
so the answer is a.
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OpenStudy (campbell_st):
not quite |dw:1371890399892:dw|
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