logo for solving-math-problems.com
leftimage for solving-math-problems.com

Set Theory,compliments











































Let Set 1 be the entire alphabet. Let set 2={m,n,o,p,q,r}
What is the compliment of set 2 in set 1?Please explain reasoning?

Comments for Set Theory,compliments

Click here to add your own comments

Jan 14, 2011
Set Theory - Complements
by: Staff

The question:

Let Set 1 be the entire alphabet. Let set 2={m,n,o,p,q,r}

What is the complement of set 2 in set 1?

Please explain reasoning?


The answer:

The complement of set 2 in set 1 consists of all the elements in set 1 that are not (also) in set 2.

In essence, you are subtracting set 2 from set 1:

Set 1 ? set 2 = the complement of set 2 in set 1

{Entire alphabet} - {m,n,o,p,q,r} = {a, b, c, d, e, f, g, h, i, j, k, l, s, t, u, v, w, x, y, z}

This can also be written:

{Entire alphabet} \ {m,n,o,p,q,r} = {a, b, c, d, e, f, g, h, i, j, k, l, s, t, u, v, w, x, y, z}


The final answer: The complement of set 2 in set 1 = {a, b, c, d, e, f, g, h, i, j, k, l, s, t, u, v, w, x, y, z}



Thanks for writing.


Staff
www.solving-math-problems.com


Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com