SOLUTION: In Exercises 25-32, determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A or if none of these answers applies. A = {x | x is a sport that uses a ball} B

Algebra ->  sets and operations -> SOLUTION: In Exercises 25-32, determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A or if none of these answers applies. A = {x | x is a sport that uses a ball} B       Log On


   

Question 480845: In Exercises 25-32, determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A or if none of these answers applies.

A = {x | x is a sport that uses a ball} B = {basketball, soccer, tennis)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
B would be a subset of A because:
A is the set of all sports that use a ball.
B is the set of sports that are either basketball, soccer, or tennis.
since all of these sports use a ball, B is a subset of A.
since A can include sports other than basketball, soccer, or tennis (football for example), then B is a proper subset of A.
your answer should be:
B ⊂ A