Question

Aritmetic QS. if a,b,c,d are real numbers under what condition we have [a,b] are subset of (cd)

Answer 1

:)

Answer 2

maybe,,,,, a and b are subset of c and d only if the values of a are not smaller that c and the values of b are not bigger than d.

Answer 3

If

a + b = c

a - b = d

Just taking a stab at it....

Answer 4

lo,, but why u perform operations?

Answer 5

To relate a and b to c and d

Answer 6

Now you can describe a and b in terms of c and d. Now that we've done that....

a and b are components of c and d

Answer 7

mmm.. so the condition where a and be are subset of c and d is when performing an operation between a and b our result will be either c or d.

Answer 8

does that read; on the interval between a and b, under what conditions do we get a product of c and d?

Answer 9

nop

Answer 10

i cant make sense of the notation :)

Answer 11

under what what conditions we have [ab] as a subset of (c,d)

Answer 12

Is there a graph associated with this? If so, use the drawing pad to create it.

Answer 13

\[[a,b] \subseteq (c,d)\]

Answer 14

it appears to be interval notation

Answer 15

no,,the professor just gave it like that
yes they are interval

Answer 16

:(

Answer 17

yesss kind offffff.. is what i have in my mind

Answer 18

when the |a+b| < |c+d| perhaps?

Answer 19

say we got (1 [3 4] 2) ; 7 > 3 tho

Answer 20

yess
so i sayd that a and b are subset of c and d only if the values of a are not smaller that c and the values of b are not bigger than d.

Answer 21

(1 [2 3 4 5 6 7 ] 8);
8+1 = 9,
7+2 = 9
6+3 = 9
7+6 = 13
2+3 = 5

hmmm

Answer 22

needs some work to it, but i think its along those lines yes

Answer 23

|8-1| = 7
|2-7| = 5

Answer 24

that seems to work better; if the absolute value between a and b is smaller than c to d; then it is a subset?

getting closer

Answer 25

ohh there u include the absule value

Answer 26

yes, i would since its the distance between points that is important and not direction

Answer 27

If |a-b| < |c-d| then [a,b] is a proper subset of (c,d)

Answer 28

ok..

Answer 29

might have to check the boundaries tho to make sure;

Answer 30

spose you have (3,8) and [2,4]; that fits what I wrote, but doesnt work

Answer 31

if c<d and a<d and b<d; and a>c and b>c would be restrictions

Answer 32

noooo because i think 3 and 8 must be elements between z and 4

Answer 33

so should be [3,8] and (2,10)

Answer 34

if i go with ur definition

Answer 35

if you go with my definition; you have to specify the relationship between a b c and d so that you arent taking values that are "off limits"

Answer 36

no he said they r real numbers... so they are infinitely whatever value

Answer 37

c <a < b < d

Answer 38

they can still be real numbers; but under certain conditions; otherwise there is no way to say that [a,b] is a subset of (c,d) if we can any combonation of numbers

Answer 39

:(... so i need to find out the boundaries???

Answer 40

[4,19] is not a subset of (-5,3)

Answer 41

you need to define boundaries yes

Answer 42

not so much boundaries, more of conditions

Answer 43

There exists some form of interval that can be defined in this manner with these restrictions such that one is a subset of the other

Answer 44

where do u think i can read more about it

Answer 45

whats the topic?

Answer 46

I'm not sure I'm following this, but, as I understand it, [a,b] is a subset of (c,d) if c<a<d and c<b<d. Shouldn't that be enough?

Answer 47

set theory perhaps, but i aint got no dedicated sources for it

Answer 48

it might be, but then again it might not be :)