Question

question

Answer 1

\(\large \color{black}{\begin{align}&\{a,b\}\in \mathbb{R}\ \ \normalsize \text{if} \ 0<a<1\ \text{and } \ 0<b<1 \ \text{and }\ a>b \hspace{.33em}\\~\\
&\normalsize \text{which of the expressions will take highest value ? } \ \hspace{.33em}\\~\\
&a.)\ a-b \hspace{.33em}\\~\\
&b.)\ a+b \hspace{.33em}\\~\\
&c.)\ \dfrac{a}{b} \hspace{.33em}\\~\\
&d.)\ \normalsize \text{cannot be determined} \hspace{.33em}\\~\\
\end{align}}\)

Answer 2

D, both b and are okay

Answer 3

0.9/0.0000000000000001 = ?

Answer 4

Both B and C

Answer 5

so its c.) ?

Answer 6

yes it is

Answer 7

but book has given option d.) cannot be determined

Answer 8

.99/.98=?
.99+.98=?

Answer 9

your book better have some explanation for why it cannot be determined hmm

Answer 10

yea wait

Answer 11

actually it depends on how you interpret the question, i hate these questions

Answer 12

cannot be determined

Answer 13

a+b > a/b
and
a/b > a+b find the intersection

Answer 14

Since no restrictions on a,b.
My example and @ganeshie8 both worked, then it's D

Answer 15

\(\large \color{black}{\begin{align}\normalsize \text{Book: any of}\ (a+b) \ \text{or }\ \dfrac{a}{b} \text{could be greater thus we cannot determine this} \hspace{.33em}\\~\\
\end{align}}\)

Answer 16

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 ?

Answer 17

f(x)>g(x)

Answer 18

you can find the exact solutions too if u want

Answer 19

y1=a+b
y2=a/b

solve y1>y2 , 0<a,b<1, a>b

Answer 20

3D solutions

Answer 21

z=x+y,
z=x/y

Answer 22

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

Answer 23

a=0.9; b=0.1: a/b > a+b

a=0.99; b=0.98: a+b > a/b

Answer 24

here is complete solution set

Answer 25

my mind says its option c.)