for any natural number n let Bn = {x|x ε N and x ≤ n}. Describe each of the following sets in the form {x | property}
a) Bm - Bn, where m > n
b) Bm U Bn, where m ≤ n
c) Bm ∩ Bn, where m ≤ n
not quite..
$\displaystyle B_n=${1,2,3...m,(m+1),(m+2),...n}
because m $\displaystyle \le$ n
$\displaystyle B_m=${1,2,3,...m}
This time we were asked to find the union of two sets. The union is all of the stuff in $\displaystyle B_n$ and all of the stuff in $\displaystyle B_m$
$\displaystyle B_n$ U $\displaystyle B_m=${x|1 $\displaystyle \le x \le $n and $\displaystyle x \epsilon {N}$}