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i began learning a basic math course at an open university that suppose to teach the basics of math like mathematical proofs but i am struggling with understanding it. i understand the logic of the proofs in the examples the teacher shows in the class but i still have problem with understanding how to write a proof in the homework.

i have a question in my homework that said:

"ℕ is the set of natural numbers. A={1/2, 1/2

prove that A is infinite set"

i remember that the teacher said that a set is infinite if there is a propersubset(i don't know if it is the right defenition for the ⊂ symbol) that is equinumerous with the group. so what should i write in the answer? that there is a set that is B⊂A(the set from the question) and that B and A are equinumerous by giving some group B as an example?.

sorry if i am not using the right terms, i am learning in hebrew and i am not familiar with the english words for what i saw in the class and my book.

i have a question in my homework that said:

"ℕ is the set of natural numbers. A={1/2, 1/2

^{2},1/2^{3},...} = {1/2^{n}|n∈ℕ}prove that A is infinite set"

i remember that the teacher said that a set is infinite if there is a propersubset(i don't know if it is the right defenition for the ⊂ symbol) that is equinumerous with the group. so what should i write in the answer? that there is a set that is B⊂A(the set from the question) and that B and A are equinumerous by giving some group B as an example?.

sorry if i am not using the right terms, i am learning in hebrew and i am not familiar with the english words for what i saw in the class and my book.

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