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Mathematics 10 Online
OpenStudy (anonymous):

What is the solution set of |x| < 11?

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

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

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.

OpenStudy (campbell_st):

not quite |dw:1371890399892:dw|

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