Question

Select all of the following true statements if R = real numbers, I = integers, and W = {0, 1, 2, ...}.
a) W ⊂ I
b) R ⊂ W
c) 0 ∈ I
d) Ø ⊂ R
e) {0, 1, 2, ...} ⊆ W
f) -2 ∈ W

Answer 1

One approach to this is to eliminate what definitely is not true

Answer 2

It's kinda difficult to explain this without saying what the answers are. Any ideas @Zarkon ?

Answer 3

I would start with the definitions of subset and element of...I guess

Answer 4

for \(W\subset I\) is every element of \(W\) an element of \(I\)?

Answer 5

yes

Answer 6

a, b, c, d, and f???

Answer 7

so the first one is true then

Answer 8

for b) is every real number also a member of the set \(W\)?

Answer 9

yes

Answer 10

-5 is a real number...is it an element of \(W\)?

Answer 11

oh, no.

Answer 12

what does that tell you?

Answer 13

Thanks! I see it now.....

Answer 14

good

Answer 15

I am going to retire for the night now. Thank you all again!! I'll be back tomorrow!!

Answer 16

night

Answer 17

good night!