Consider the universal set define the interval A61 interval

Consider the universal set ?, define the interval A=[?6,1], interval B=(?1,3), and C be the negative real numbers. Complete the following exercises in interval notation.

1. A?B=

2. A?B?C=

3. A?(B?C)=

4. Ac?Bc?Cc=

5. (C?A)?(B?C)=

Solution

A=[-6,1] and B =(-1,3)

C= (-infty,0)

1) A int B = (-1,1]

2) A int B INt C = (-1,0)

3) Ain (BintC) =(-1,0)

4) A\'int B\'intC\' = (AUBUC)\' = [3,infty)

5) (C?A)?(B?C)=(-1,0)