Explore BrainMass

# Set-Builder Notation

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Determine whether A = B, A Ã¢?? B, B Ã¢?? A, A Ã¢?? B, B Ã¢?? A or if none of these answers applies. (There may be more than one answer)

A = {x | x is a sport that uses a ball}

B = {basketball, soccer, tennis}

Â© BrainMass Inc. brainmass.com December 24, 2021, 9:20 pm ad1c9bdddf
https://brainmass.com/math/combinatorics/set-builder-notation-368421

#### Solution Preview

When we define a set in roster notation, we just list all its elements. For example, set O={1,3,5.7.9} or D={Mon, Tu, Wed, Th, Fri}.
The set-builder notation formally looks like this:
C={x | the description of the typical element x of the set}. So, for example, the two sets in my example can be described as
O={x | x is an odd digit}
D={x | x is a weekday}
The set-builder notation ...

#### Solution Summary

Set-Builder Notation is clearly explored in this case.

\$2.49