Mathematics
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OpenStudy (anonymous):
if b > a > 1, then ??? please explain!
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OpenStudy (anonymous):
explain what?
OpenStudy (anonymous):
oh wait- here are the answer choices
OpenStudy (stormfire1):
then b > 1. It's a logic question. If a > 1 and b is > a, then b must be > 1.
OpenStudy (stormfire1):
what are the choices? There can be other answers....
OpenStudy (anonymous):
In english:
If a is between b and 1 then
a> b and a < 1
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OpenStudy (anonymous):
a. 1/a < 1/b b. a^2 < b^2 c. n < 3 d. a + 2b > 3b e. b^2 < ab
OpenStudy (anonymous):
anyone know?????
OpenStudy (anonymous):
b
OpenStudy (anonymous):
I like the first option.
OpenStudy (stormfire1):
b
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OpenStudy (anonymous):
why is it b??
OpenStudy (anonymous):
b>a
or a<b
taking square on both side
will make b option
OpenStudy (anonymous):
b > a and a > 1
b > a and a< b
OpenStudy (anonymous):
\[\text{let } a = \frac{1}{2}, b=\frac{1}{4}\]
\[\implies b < a < 1\]
\[b^2 = \frac{1}{16}, a^2 = \frac{1}{4}\]
\[a^2 \not< b^2\]
OpenStudy (stormfire1):
Actually, on second thought, it's a....because a or b can be negative.
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OpenStudy (anonymous):
Indeed
OpenStudy (anonymous):
so it is A?
OpenStudy (stormfire1):
Most definitely.
OpenStudy (stormfire1):
Of course, C works too...if n is in fact < 3 :P
OpenStudy (anonymous):
it can only be one answer though
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OpenStudy (stormfire1):
C was a *joke* :) It's A
OpenStudy (anonymous):
\[a= \frac{1}{2}, b= -5\]\[\implies b < a < 1\]\[\frac{1}{a} = 2, \quad\frac{1}{b} = -\frac{1}{5}\]\[\frac{1}{a} > \frac{1}{b}\]..
Hrm it's not a.
OpenStudy (anonymous):
at polpak read the question carefully it is b>a>1
not b<a<1
OpenStudy (anonymous):
Oh, botheration. Why would you order it that way?
OpenStudy (anonymous):
so option b is correct
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OpenStudy (anonymous):
does anyone have a final answer thats RIGHT?
OpenStudy (anonymous):
im going with b
OpenStudy (anonymous):
b is correct. I misread the initial inequality.
OpenStudy (anonymous):
Sorry for the confusion.
OpenStudy (anonymous):
its ok thanks for the help
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OpenStudy (stormfire1):
If a = -3 and b = -2, then a^2 = 9 and b^2=4....so B cannot be right.
OpenStudy (anonymous):
ohhh how -2 is grater than 1
OpenStudy (stormfire1):
ah crap...I forgot about that. Ok, B it is
OpenStudy (anonymous):
it is given in question
OpenStudy (stormfire1):
Never change your first answer...that's what I should have done :)