Math $146$ Prof. Hellen Colman

Set Theory sage notebook

Given the following sets A and B:

A $=\{$x in N$|$ x is a digit in your student ID $\}$

B $=\{$a$,$ e$,$i$,$ o$,$ u$,0,1,2,3,4,5\}$

ask Sage to calculate:

P $1$ A $\backslash$cap B

P $2$ A $\backslash$cup B

P $3|$A$|$

P $4$ A $\backslash$times B

P $5|$A $\backslash$times A$|$

P $6$ P$($A$)$

P $7$ P$($B$)$

P $8|$P$($A$)|$

P $9|$P$($B$)|$