Subsets

[mochaeris]

A={x|xEN and x<6}
B={x|xEN and 1< x < 5}

So far I have come up with B is a subset of A because 5<6 and A is <6 within the domain of A. I need someone to help come up with additional answers.

thank you,
Monique

 

[pka]

A={x|xEN and x<6}
B={x|xEN and 1< x < 5}
So far I have come up with B is a subset of A because 5<6 and A is <6 within the domain of A. I need someone to help come up with additional answers.

I am sorry to tell you but the answer to question depends upon who you ask.
There is no universal agreement on the content of \(\displaystyle \mathbb{N}\).
Most current working mathematicians consider \(\displaystyle \mathbb{N}=\{0,1,2,\cdots\}\).

BUT most, if not all, in the math-education community consider \(\displaystyle \mathbb{N}=\{1,2,\cdots\}\).
The latter group has even invented names.
Whole numbers for the first set and Natural numbers for the second set.
Oh, come on: zero is not a natural number?

So check your text/notes for which definition the author is using.
That changes the answer by 'one' either way.

 

[mmm4444bot]

I need someone to help come up with additional answers.

Okay, but what is the question?

I see set A defined. I see set B defined. I see the word "Subsets" in your subject line, yet I'm not sure what you've been asked to do.

Are you able to post the exact instructions that come with this exercise?

Also, as pka points out, most schools consider the set of Natural numbers to start with 1. So, unless you're a working mathematician, let's go with that for now.