Question

Everyone of the statements is true for some (neither) S out of T,U,V, and W.

Answer 1

Let,
T = {17}
U = {6}
V = {24}
W = {2, 3, 7, 26}
For every statement, indicate all sets out of T, U, V, and W such that the statement is true.

Answer 2

a) \[\exists x \in S : (x\ is\ odd) \rightarrow \left( x >8 \right)\]
b) \[\exists x \in S : (x\ is\ odd)\ \Lambda \left( x >8 \right)\]
c) \[\forall x \in S , (x\ is\ odd) \rightarrow \left( x >8 \right)\]
d) \[\forall x \in S : (x\ is\ odd)\ \Lambda \left( x >8 \right)\]

Answer 3

lets look at statement d)

Answer 4

ok

Answer 5

Is there a set with ALL elements being odd and greater than 8 ?

Answer 6

no, so the answer is the empty set?

Answer 7

try again

Answer 8

there is a set with all elements being odd and greater than 8? haha

Answer 9

which one ?

Answer 10

T!

Answer 11

Yep!

Answer 12

so i feel like T is our answer to a, b, and d

Answer 13

lets look at statement c)

Answer 14

ok c...for all x in S, if x is odd then x > 8

Answer 15

yes, which set(s) satsfies that ?

Answer 16

T

Answer 17

actually there are 3 sets that satisfy

Answer 18

ok, so T, V, W?
but why they are not odd?
is it because of the implication truth table (p -> q) <=> (F -> T) => T?

Answer 19

uhg im so confused

Answer 20

W doesn't satisfy statement c) because it has an odd numbers 3,7 which are not greater than 8

Answer 21

i think i just figured it out

Answer 22

ok, let me try the whole thing.

Answer 23

T = {17}
U = {6}
V = {24}

satisfy statemetn c) because the odd numbers in these sets are greater than 8

Answer 24

okay :)

Answer 25

*crosses fingers*

Answer 26

a) T U V
b) T, W
c) T U V
d) T

Answer 27

lol

Answer 28

b) is wrong

Answer 29

why?

Answer 30

there exists no odd number greater than 8 in W

Answer 31

try again

Answer 32

but there is an odd number and a number greater than 8

Answer 33

the same number has to be greater than 8

Answer 34

i guess if w is out, then just T!

Answer 35

i see, ok then

Answer 36

it is "x odd" and "x > 8"

and not this :

"x odd" and "y > 8"

Answer 37

true.

Answer 38

in this problem it doesnt seem very clear the difference in "for all" and "there exists"

Answer 39

yeah i see.. so what do you have for final answer ? :)

Answer 40

so the answer is
a. TUV
b. T
c.TUV
d.T

Answer 41

the website is really bogged down right now >.>

Answer 42

that looks good to me!