Interval Notation for Set Intersection and Union

[rudders93]

Homework Statement

Consider the following intervals:

A = [-3,5), B = (3,8), C = (0,4]

Find: A\capB and A\capC

The Attempt at a Solution

I thought that: A\capB=(3,5) and that A\capC=[0,4] as that is the intersection point, but this book (Schaum's Probability Outlines) says that A\capB=[-3,8) and A\capC=[-3,5)

I'm looking to confirm that the book might be wrong (Amazon reviews indicate a lot of typographical errors) and instead maybe their answer refers to A\cup B and A\cup C perhaps? Or am I getting confused?

Thanks!

 

[Joffan]

The book answers are for union \cup, and you are really close to correct with your answers for intersection \cap. It could be a typo in either question or answer.

 

[HallsofIvy]

Yes, A\cap B= (3, 5) while A\cup B= [-3, 8) as Joffan says. A\cup C= [-3, 5). But A\cap C is NOT [0, 4] because 0 is not in C.
In fact, C is a subset of A so A\cap C= C and A\cup C= A.