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Mathematics 8 Online
OpenStudy (anonymous):

What is the solution set of |2x - 3| - 10 = -1

OpenStudy (zzr0ck3r):

add 10 to both sides then |a|=b implies a=b and a=-b

OpenStudy (anonymous):

a) 6 or -3 b) 6 or 3 c) 6 or -6 d) No solution

OpenStudy (zzr0ck3r):

add 10 to both sides and what do you have?

OpenStudy (anonymous):

|2x-3|=9

OpenStudy (zzr0ck3r):

ok now from the property I showed above we have 2x-3=9 and 2x-3=-9

OpenStudy (zzr0ck3r):

can you solve each of these ?

OpenStudy (anonymous):

add 3 to both sides... then divide 2 from both sides getting x by it self?

OpenStudy (zzr0ck3r):

yep

OpenStudy (zzr0ck3r):

what do you get?

OpenStudy (zzr0ck3r):

show your work if your not sure

OpenStudy (anonymous):

x=6 and x=-3

OpenStudy (zzr0ck3r):

correct

OpenStudy (zzr0ck3r):

so just isolate the |stuff| term and then set equal to the original number than the opposite sign of that same number

OpenStudy (anonymous):

haha i feel smart!

OpenStudy (zzr0ck3r):

:)

OpenStudy (anonymous):

THANK YOU!

OpenStudy (zzr0ck3r):

np

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