The values of the sets are
- {rationals} u {irrationals} = {real numbers}
- ((3, 7) n (1, 5)) u [1, 11) = [1, 11)
How to determine the new sets?
Union in set 3
The expression of set 3 is represented as:
{rationals} u {irrationals}
The above means that we determine the union of rational and irrational numbers.
So, we have:
{rationals} u {irrationals} = {rationals or irrationals}
When rational and irrational numbers are combined, the set is the set of real numbers.
So, we have:
{rationals} u {irrationals} = {real numbers}
Hence, {rationals} u {irrationals} = {real numbers}
Union and intersection in set 4
The expression of set 4 is represented as:
((3, 7) n (1, 5)) u [1, 11)
The above means that we determine the union and sets of numbers.
So, we have:
((3, 7) n (1, 5)) u [1, 11)
Evaluate the intersection set
((3, 7) n (1, 5)) u [1, 11) = (4) u [1, 11)
Evaluate the union set
((3, 7) n (1, 5)) u [1, 11) = [1, 11)
Hence, ((3, 7) n (1, 5)) u [1, 11) = [1, 11)
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