Write the set ${1, 6, 11, 16,ldots}$ in compact (concise) notation.
0
$begingroup$
I got the answer as the set ${5x + 1 : x in mathbb{N} ∪ {0} }$. Can anyone confirm if this is correct? Thanks.
number-theory
edited Jan 11 at 22:38
max_zorn
3,41061329
asked Jan 11 at 18:19
Mohammad OMohammad O
385
$endgroup$
add a comment |
0
$begingroup$
I got the answer as the set ${5x + 1 : x in mathbb{N} ∪ {0} }$. Can anyone confirm if this is correct? Thanks.
number-theory
edited Jan 11 at 22:38
max_zorn
3,41061329
asked Jan 11 at 18:19
Mohammad OMohammad O
385
$endgroup$
$begingroup$
What does "writing as a compact set" mean? Either it's a compact set or not. And that won't change no matter how you right it. (Under the Euclidean metric it clearly isn't compact because you can take an open cover of small disjoint intervals each containing exactly one of the infinite terms of the set.)
$endgroup$
– fleablood
Jan 11 at 18:31
1
$begingroup$
We say "set builder" notation, not "compact."
$endgroup$
– Ben W
Jan 11 at 18:32
$begingroup$
For set notation that is good. You can also do ${5x -4: x in mathbb N}$ or ${5x + 1| xge 0; x in mathbb Z}$ etc.
$endgroup$
– fleablood
Jan 11 at 18:33
add a comment |
0
0
0
$begingroup$
I got the answer as the set ${5x + 1 : x in mathbb{N} ∪ {0} }$. Can anyone confirm if this is correct? Thanks.
number-theory
edited Jan 11 at 22:38
max_zorn
3,41061329
asked Jan 11 at 18:19
Mohammad OMohammad O
385
$endgroup$
I got the answer as the set ${5x + 1 : x in mathbb{N} ∪ {0} }$. Can anyone confirm if this is correct? Thanks.
number-theory
number-theory
edited Jan 11 at 22:38
max_zorn
3,41061329
asked Jan 11 at 18:19
Mohammad OMohammad O
385
edited Jan 11 at 22:38
max_zorn
3,41061329
asked Jan 11 at 18:19
Mohammad OMohammad O
385
edited Jan 11 at 22:38
max_zorn
3,41061329
edited Jan 11 at 22:38
max_zorn
3,41061329
edited Jan 11 at 22:38
max_zorn
3,41061329
3,41061329
asked Jan 11 at 18:19
Mohammad OMohammad O
385
asked Jan 11 at 18:19
Mohammad OMohammad O
385
asked Jan 11 at 18:19
Mohammad OMohammad O
385
385
$begingroup$
What does "writing as a compact set" mean? Either it's a compact set or not. And that won't change no matter how you right it. (Under the Euclidean metric it clearly isn't compact because you can take an open cover of small disjoint intervals each containing exactly one of the infinite terms of the set.)
$endgroup$
– fleablood
Jan 11 at 18:31
1
$begingroup$
We say "set builder" notation, not "compact."
$endgroup$
– Ben W
Jan 11 at 18:32
$begingroup$
For set notation that is good. You can also do ${5x -4: x in mathbb N}$ or ${5x + 1| xge 0; x in mathbb Z}$ etc.
$endgroup$
– fleablood
Jan 11 at 18:33
add a comment |
$begingroup$
What does "writing as a compact set" mean? Either it's a compact set or not. And that won't change no matter how you right it. (Under the Euclidean metric it clearly isn't compact because you can take an open cover of small disjoint intervals each containing exactly one of the infinite terms of the set.)
$endgroup$
– fleablood
Jan 11 at 18:31
1
$begingroup$
We say "set builder" notation, not "compact."
$endgroup$
– Ben W
Jan 11 at 18:32
$begingroup$
For set notation that is good. You can also do ${5x -4: x in mathbb N}$ or ${5x + 1| xge 0; x in mathbb Z}$ etc.
$endgroup$
– fleablood
Jan 11 at 18:33
$begingroup$
What does "writing as a compact set" mean? Either it's a compact set or not. And that won't change no matter how you right it. (Under the Euclidean metric it clearly isn't compact because you can take an open cover of small disjoint intervals each containing exactly one of the infinite terms of the set.)
$endgroup$
– fleablood
Jan 11 at 18:31
$begingroup$
What does "writing as a compact set" mean? Either it's a compact set or not. And that won't change no matter how you right it. (Under the Euclidean metric it clearly isn't compact because you can take an open cover of small disjoint intervals each containing exactly one of the infinite terms of the set.)
$endgroup$
– fleablood
Jan 11 at 18:31
1
1
$begingroup$
We say "set builder" notation, not "compact."
$endgroup$
– Ben W
Jan 11 at 18:32
$begingroup$
We say "set builder" notation, not "compact."
$endgroup$
– Ben W
Jan 11 at 18:32
$begingroup$
For set notation that is good. You can also do ${5x -4: x in mathbb N}$ or ${5x + 1| xge 0; x in mathbb Z}$ etc.
$endgroup$
– fleablood
Jan 11 at 18:33
$begingroup$
For set notation that is good. You can also do ${5x -4: x in mathbb N}$ or ${5x + 1| xge 0; x in mathbb Z}$ etc.
$endgroup$
– fleablood
Jan 11 at 18:33
add a comment |
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$begingroup$
What does "writing as a compact set" mean? Either it's a compact set or not. And that won't change no matter how you right it. (Under the Euclidean metric it clearly isn't compact because you can take an open cover of small disjoint intervals each containing exactly one of the infinite terms of the set.)
$endgroup$
– fleablood
Jan 11 at 18:31
1
$begingroup$
We say "set builder" notation, not "compact."
$endgroup$
– Ben W
Jan 11 at 18:32
$begingroup$
For set notation that is good. You can also do ${5x -4: x in mathbb N}$ or ${5x + 1| xge 0; x in mathbb Z}$ etc.
$endgroup$
– fleablood
Jan 11 at 18:33