15 terms

MTH-2215: Applied Discrete Mathematics: Quiz 1

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Let A = {1,3,5,a} and B = {a,b,c,d,3}. Find A∩B
{a,3}
If we let A = {1,3,4} and B = {1,2,3,4,5,t,h,e} then A⊆B
true
Express the set {-1,0,1,2,3} in set-builder notation.
{x | -2 < x < 4}
Find the cardinality of {a,1,b,c}.
4
Let A = {7,8,9} and B = {Ø}. Find A ∪ B.
{7,8,9,Ø}
Find the bitwise AND of the two bit strings 1110 and 0101.
0100
Let A = {0,1} and B = {r,t,y}. Then
A x B = {(r,0), (r,1),(t,0),(t,1),(y,0)(y,1)}.
False
Let A = {7, {7}, {7,{7}}} and B = {7,{7}}. Is B⊂A?
Yes
{1,3} ∈ {1,3,{1}},{3}}
False
Find |A|, where A ={3,{3},2,{2,3}}.
4
Let U = {a,l,g,o,r,i,t,h,m} and A = {i,t}. Find A^c.
{a,l,g,o,r,h,m}
{1,Ø} ⊂ {{1},Ø,{Ø}}
False
Let A = {g,r,a,y}, B = {t,a,n}, and C = {b,l,u,e}. Find A ∪ B ∪ C.
{g,r,a,y,t,n,b,l,u,e}
Let A = {1,2,3,4,a} and B = {a,n,d,1,2}. Find the following:

(a) A - B

(b) B - A
(a) is {3,4}
(b) is {n,d}
{a,b,c} = {c,a,b,c}
True