Distinguishing Between Equal and Equivalent Sets

Показать описание

Follow us:

Two sets A and B are equal if they have exactly the same members. In this case, we write A=B. If A and B are not equal, we write A≠B. Equivalent sets (one-to-one correspondence) are those that have the same number of elements, regardless of what those elements are.

Q. Which pairs of sets are equal?

(a) {Facebook, Flickr, Twitter, Pinterest, Instagram, Vine} and {Pinterest, Flickr, Instagram, Twitter, Facebook, Vine, Flickr, Pinterest}

(b) A={x:x is a citizen of the United States} and
B={x:x was born in the United States}

Q. Which of the following pairs of sets are equal? Equivalent?

(a) {a,b,c,d} {d,b,a,c,d,c}
{1,2,3} {4,5,6}