Mathematics
7 Online
OpenStudy (anonymous):
\[6\le3-2(x-5)<14\]
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OpenStudy (lgbasallote):
first.. subtract 3 from ALL sides. what do you get?
Parth (parthkohli):
Whatever you do, do the same to ALL THREE SIDES.
OpenStudy (anonymous):
\[My answer: \frac{ 13 }{ 2 }\ge x > \frac{ -7 }{2 }\]
Parth (parthkohli):
Umm... no.
OpenStudy (lgbasallote):
remember..you divide all sides by -2 later on right?
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OpenStudy (anonymous):
OH I SEE WHAT I DID hold on.
OpenStudy (anonymous):
19/2 greater than or equal to x greater than or equal to 1/-2
OpenStudy (lgbasallote):
hmmm... i think you should present the solution now....
OpenStudy (lgbasallote):
the right side is right...but the left side is....left
OpenStudy (lgbasallote):
and by left i mean wrong
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OpenStudy (anonymous):
Is it the number or is it the inequality it comes out to be -19/-2
OpenStudy (lgbasallote):
ok...let me help you
\[6 \le 3 - 2(x-5)\]
SUBTRACT 3 from both sides..what do you get?
OpenStudy (anonymous):
Oh, I forgot the 6 is suppose to be negative. So... my mistake, sorry.
OpenStudy (lgbasallote):
oh...
OpenStudy (lgbasallote):
so \[-6 \le 3 - 2(x-5) < 14\]
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OpenStudy (lgbasallote):
is that the question?
OpenStudy (anonymous):
Yeah! Is it possible for the inequalities to go the same way?
OpenStudy (lgbasallote):
what do you mean same way?
OpenStudy (anonymous):
so it would be <-----1/-2====0====19/2====>
OpenStudy (lgbasallote):
do you mean the graph?
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OpenStudy (anonymous):
yes.
OpenStudy (lgbasallote):
it would look like this |dw:1346920384175:dw|