mathmath333
  • mathmath333
question
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathmath333
  • mathmath333
\(\large \color{black}{\begin{align}&\{a,b\}\in \mathbb{R}\ \ \normalsize \text{if} \ 0b \hspace{.33em}\\~\\ &\normalsize \text{which of the expressions will take highest value ? } \ \hspace{.33em}\\~\\ &a.)\ a-b \hspace{.33em}\\~\\ &b.)\ a+b \hspace{.33em}\\~\\ &c.)\ \dfrac{a}{b} \hspace{.33em}\\~\\ &d.)\ \normalsize \text{cannot be determined} \hspace{.33em}\\~\\ \end{align}}\)
anonymous
  • anonymous
D, both b and are okay
ganeshie8
  • ganeshie8
0.9/0.0000000000000001 = ?

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More answers

anonymous
  • anonymous
Both B and C
mathmath333
  • mathmath333
so its c.) ?
ganeshie8
  • ganeshie8
yes it is
mathmath333
  • mathmath333
but book has given option d.) cannot be determined
anonymous
  • anonymous
.99/.98=? .99+.98=?
ganeshie8
  • ganeshie8
your book better have some explanation for why it cannot be determined hmm
mathmath333
  • mathmath333
yea wait
ganeshie8
  • ganeshie8
actually it depends on how you interpret the question, i hate these questions
dan815
  • dan815
cannot be determined
dan815
  • dan815
a+b > a/b and a/b > a+b find the intersection
anonymous
  • anonymous
Since no restrictions on a,b. My example and @ganeshie8 both worked, then it's D
mathmath333
  • mathmath333
\(\large \color{black}{\begin{align}\normalsize \text{Book: any of}\ (a+b) \ \text{or }\ \dfrac{a}{b} \text{could be greater thus we cannot determine this} \hspace{.33em}\\~\\ \end{align}}\)
ganeshie8
  • ganeshie8
yeah i get that, let me ask a side question : consider two functions f(x) = x^2, g(x) = -x^2+1 which function takes highest value ?
mathmath333
  • mathmath333
f(x)>g(x)
dan815
  • dan815
you can find the exact solutions too if u want
dan815
  • dan815
y1=a+b y2=a/b solve y1>y2 , 0b
ganeshie8
  • ganeshie8
|dw:1435174603515:dw|
dan815
  • dan815
3D solutions
dan815
  • dan815
z=x+y, z=x/y
ganeshie8
  • ganeshie8
you could say "clearly it depends on x" you could also say "clearly f(x) takes highest values because it is shooting up" depends on what the author thinks i guess
ParthKohli
  • ParthKohli
a=0.9; b=0.1: a/b > a+b a=0.99; b=0.98: a+b > a/b
dan815
  • dan815
here is complete solution set
mathmath333
  • mathmath333
my mind says its option c.)
dan815
  • dan815
|dw:1435174861889:dw|
mathmath333
  • mathmath333
so is it option d.) ?
ganeshie8
  • ganeshie8
definitely, d looks more convincing
mathmath333
  • mathmath333
ok thnx.
ganeshie8
  • ganeshie8
@mathmath333 how are you giving multiple medals
mathmath333
  • mathmath333
just like u do
ganeshie8
  • ganeshie8
i mean "how" exactly are you doing it
mathmath333
  • mathmath333
i click on multiple comments in a short succesion of time.

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