A question on operators of subsets of integer numbers
$begingroup$
If $A={x^2-m|xin Z, -3<x<m}$ ($m$ is a constant number and $Z$ is symbol integer numbers) and $B={x|dfrac{x}{3}in Z, -4<xleq 12}$ and $n(Acap B)=3$, then prove that the least value for $n(A-B)$ is 2.
My work: I guess that if $m=4$, then $A={0,-3,-4,5,12}$ and so $n(A-B)=2$.
elementary-number-theory arithmetic
asked Dec 14 '18 at 16:07
A.GA.G
401310
$endgroup$
add a comment |
$begingroup$
If $A={x^2-m|xin Z, -3<x<m}$ ($m$ is a constant number and $Z$ is symbol integer numbers) and $B={x|dfrac{x}{3}in Z, -4<xleq 12}$ and $n(Acap B)=3$, then prove that the least value for $n(A-B)$ is 2.
My work: I guess that if $m=4$, then $A={0,-3,-4,5,12}$ and so $n(A-B)=2$.
elementary-number-theory arithmetic
asked Dec 14 '18 at 16:07
A.GA.G
401310
$endgroup$
add a comment |
$begingroup$
If $A={x^2-m|xin Z, -3<x<m}$ ($m$ is a constant number and $Z$ is symbol integer numbers) and $B={x|dfrac{x}{3}in Z, -4<xleq 12}$ and $n(Acap B)=3$, then prove that the least value for $n(A-B)$ is 2.
My work: I guess that if $m=4$, then $A={0,-3,-4,5,12}$ and so $n(A-B)=2$.
elementary-number-theory arithmetic
asked Dec 14 '18 at 16:07
A.GA.G
401310
$endgroup$
If $A={x^2-m|xin Z, -3<x<m}$ ($m$ is a constant number and $Z$ is symbol integer numbers) and $B={x|dfrac{x}{3}in Z, -4<xleq 12}$ and $n(Acap B)=3$, then prove that the least value for $n(A-B)$ is 2.
My work: I guess that if $m=4$, then $A={0,-3,-4,5,12}$ and so $n(A-B)=2$.
elementary-number-theory arithmetic
elementary-number-theory arithmetic
asked Dec 14 '18 at 16:07
A.GA.G
401310
asked Dec 14 '18 at 16:07
A.GA.G
401310
edited Dec 14 '18 at 17:16
A.G
asked Dec 14 '18 at 16:07
A.GA.G
401310
asked Dec 14 '18 at 16:07
A.GA.G
401310
asked Dec 14 '18 at 16:07
A.GA.G
401310
401310
add a comment |
add a comment |
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