C={0,1,2,5,7,9,11}, D={2,3,4,5}and F={3,5,8,9,12} a) List the set Cn(DuF) b) List the set (CnD)u (CnF)?

A)(DUF)=2,3,4,5,8,9,12


Cn(DUF)=2,5


B)(CnD)=2,5


(CnF)=5,9


(CnD)U(CnF)=2,5,9

C={0,1,2,5,7,9,11}, D={2,3,4,5}and F={3,5,8,9,12} a) List the set Cn(DuF) b) List the set (CnD)u (CnF)?
This set has an element 12 which is also a common element. Report It

Reply:????????????????????????????????????????...
Reply:XuY: include all items belong X and Y


XnY: include same items which belong both X and Y


a)


DuF={2,3,4,5,8,9,12}


Cn(DuF) = {2,5}


b)


CnD={2,5}


CnF={5,9}


(CnD)u(CnF)={2,5,9}
Reply:a.)notation interpretation: "u" stands for union;


"n" stands for intersection.


Cn(DuF)


(DuF)={2,3,4,5,8,9,12}; d union f the value of the set is all the values which are present in both "d" and "f".


Cn(DuF)={0,1,3,4,7,8,11,12};"C" intersection d union f is the value that is obtained as the numbers which are not common to "C" and "d union f" are to be taken.





b.)(CnD)u(CnF)={0,1,3,4,7,9,11}u{0,1,2...


={0,1,2,3,4,7,8,9,11,12}.





The above are the answers for the sets.


bye
Reply:a) DUF={2,3,4,5,8,9,12}


Cn(DUF)={2,5,9,12}.........(1)





b)CnD={2,5}


CnF={5,9,12}





(cnD)U (CnF)={2,5,9,12}.....(2)





Clealy (1) %26amp; (2) are SAME.Coz Intersection is Distributive over Union and vice versa.