Recent content by dirtypurp

ah okay that makes sense however the function is injective since every output is only given by one input. thank you for your help

So what is the range? and if so the function isn't bijection then based on what you said

Let f : N −→ R and f(x) = √ 9x The domain is all natural numbers: {0, 1, 2, 3, ...} The codomain is all real numbers. The range i believe is [0, +infinity) I believe that although the above is a function since every input of x provides a output that fits in our codomain. I also believe that...

With that being said - did i seem to get them all right from the previous response?

So a empty set is a subset of any set making d true. For e since its asking if the empty set element can be found in {φ, {φ}} as the set does indeed contain a empty set. making it true as well.

Can you clarify which one?

Yes I tried learning it again last night and I have gotten F, T, T, T, T, F.

So far I have determined that first two statements are true but really need help on understanding proper logic as I don't think I am doing it right. 1 State whether the following are True or False a.) {{φ}} ∈ {{φ}, {φ}} b.) {φ} ∈ {{φ}, {φ}} c.) {{φ}} ⊆ {φ, {φ}} d.) φ ⊆ {φ, {φ}} e.) φ ∈...