Mathematics
11 Online
OpenStudy (anonymous):
Solve the inequality.
5 – 3a < –10
A.
a > 5
B.
a > –5
C.
a < 5
D.
a < –5 @ganeshie8
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OpenStudy (anonymous):
i dont get it
OpenStudy (anonymous):
the subtraction part
ganeshie8 (ganeshie8):
yeah its tricky now, but weesy.... lets see :)
ganeshie8 (ganeshie8):
5 – 3a < –10
ganeshie8 (ganeshie8):
we wanto isolate 'a'
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OpenStudy (anonymous):
ok
ganeshie8 (ganeshie8):
since 5 is there on left side, lets kill it first :)
how ? subtract 5 both sides
OpenStudy (anonymous):
are the choices the answers?
ganeshie8 (ganeshie8):
5 – 3a < –10
-5 -5
-3a < -15
OpenStudy (anonymous):
yes @ienarancillo
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ganeshie8 (ganeshie8):
5 is gone !
next wat ?
OpenStudy (anonymous):
wait you divide both sides by -5?
ganeshie8 (ganeshie8):
nope, i had to subtract
OpenStudy (anonymous):
ohhh
OpenStudy (anonymous):
5-3a<-10
5<-10+3a
15<3a
5<a
a>5
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OpenStudy (anonymous):
ok so then you divide by 3 am I correct
ganeshie8 (ganeshie8):
Correct ! divide by -3
ganeshie8 (ganeshie8):
-3a < -15
/-3 /-3
a > 5
ganeshie8 (ganeshie8):
now a is isolated completely ! so thats ur solution
OpenStudy (anonymous):
ok thank you so much
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ganeshie8 (ganeshie8):
i bet you're wondering why < became > in the last step :)
OpenStudy (anonymous):
yeah how?
ganeshie8 (ganeshie8):
there is a blind/dumb rule :-
whenever u multiply/divide by a NEGATIVE number, u must switch < and >
ganeshie8 (ganeshie8):
dont bother too much right away, u wil get hang of these after doing few more problems, trust me :)
OpenStudy (anonymous):
ok thanks again for your help!
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ganeshie8 (ganeshie8):
np :)