Question

question (logical reasoning)

some cakes are bikes

Answer 1

@AbdullahM

Answer 2

@random231

Answer 3

From a,b,c we get the following properties for \( B \) = set of all bikes, \(C\) = set of all cakes, \(H\) = set of all hills, and \(L\) = set of all laptops.

a) \(C \cap B \neq \emptyset \)
b) \( B \cap H \neq \emptyset \)
c) \( L \subset H \)

I) Since only some bikes are hill, you could choose a laptop that isn't a hill yet still a bike.
II) Since only some bikes are cakes, you could choose a laptop that isn't a cake yet still a bike
III) It is possible that \(C \cap B = \emptyset\) since \( (C \cap B) \cap ( B \cap H) \) could be empty
IV) For the same reason I/II, it is possible that the set \(L \subset C\) since \(C \cap H \neq \emptyset \).

Answer 4

For III that should be \(C \cap H = \emptyset \)

Answer 5

i need to choose option from 1 to 5

Answer 6

@Daniellelovee

Answer 7

the person helping you was doing a correct job

Answer 8

what don't you understand?

Answer 9

he didnt tell which option is correct

Answer 10

well you should have told at least what you think is correct, if you want the answer you at least have to show why you know for sure that the answer chosen is the correct one

Answer 11

if something is a laptop it has to be a bike and and some cakes are bikes so some laptops must be cakes. Thats option II.

Answer 12

i think II, III and IV are corrrect but they are not in options

Answer 13

yes i think options II is one of the correct ones

Answer 14

according to the work that the person above me showed I think the correct choices are I and III but I'm not completely sure since probability is not exactly my best in statistics

Answer 15

in the book option b.) is given correct

Answer 16

either II or IV?

Answer 17

yes

Answer 18

Yea thats right because only some laptops can be cakes - so obvously some are not cakes.

Answer 19

what sbout some cakes are hills , this statement is also true

Answer 20

OH wait - its or not 'and'
I'm confused now.

Answer 21

cakes are hills - not necessarily The bikes that are cakes are not necessarily hills.

Answer 22

i mean "some" of them might be

Answer 23

- thats the point 'might be' . We cant be sure.

Answer 24

so III is false

Answer 25

yea i would say so.

Answer 26

and if option b.) is right then why it is written as "either" II or IV

Answer 27

yea - thats what i cant understand...

Answer 28

ok i got it because II and IV are contradictory statements , both of them cannot be true

Answer 29

thnks