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OpenStudy (anonymous):
3-x<1 is this correct? (-infty, -4]
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OpenStudy (anonymous):
it tells me its incorrect, am i typing it wrong?
OpenStudy (anonymous):
-x < -2 x > 2
OpenStudy (anonymous):
(2, inf)
OpenStudy (anonymous):
-3-x<1 sorry i typed the problem wrong
OpenStudy (anonymous):
(-4,inf)
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OpenStudy (anonymous):
thats right but can you tell me why?
OpenStudy (anonymous):
-3-x<1 3+x>-1 x>-4
OpenStudy (anonymous):
\[-3-x<1\] \[-3<x+1\] \[-4<x\] x is GREATER than -4
OpenStudy (anonymous):
well i got that but why isnt it -\[\infty\]
OpenStudy (anonymous):
-x < 4 x > -4 when dividing both sides by a negative the inequality sign flips
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OpenStudy (anonymous):
oh yeah i knew that... lol
OpenStudy (anonymous):
oh ok so you also understand why its (-4,inf) right
OpenStudy (anonymous):
you can multiply by a negative number and change signs if you like. but you can also just add to both sides to assure that the coefficient of x is positive
OpenStudy (anonymous):
\[-x>10\] \[-x+x>10+x\] \[0>10+x\] \[-10>x\]
OpenStudy (anonymous):
yeah that might be easier so i dont forget, thanks
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