Question

5) Find the union and the intersection of the given intervals.

A1(0,3] ; A2 [2,6)

6) Find the union and the intersection of the given intervals.
A1= (-∞, 6) A2 =(6,∞)

Answer 1

5) We want to find the union and the intersection of the given intervals.

A1(0,3] ; A2 [2,6)

From the diagram we can see that the intersection is

[2,3]

The union is from the lower boundary of the first interval to the upper boundary of the second interval.

The union is (0,6)

6) The second interval is

A1= (-∞, 6) A2 =(6,∞)

From the diagram, this interval has no intersection.

The intersection is a null set

`\emptyset`

The union of this set is

(-∞,∞)