Question

Consider the set U = { 0, -7, 0.83, ¾ ,72 , ,289 , 24 , 8, 256 , 227}

Create two subsets from set U, subset R is the set of rational numbers and subset I is the set of irrational numbers.

Answer 1

To create two subsets from set U, we need to classify each number as either rational or irrational. Rational numbers can be expressed as a fraction, while irrational numbers cannot. Subset R consists of rational numbers and subset I consists of irrational numbers.

Step-by-step explanation:

To create two subsets from set U, subset R which is the set of rational numbers and subset I which is the set of irrational numbers, we need to classify each number in the set U as either rational or irrational. Rational numbers are numbers that can be expressed as a fraction, while irrational numbers cannot be expressed as a fraction.

Rational numbers in set U: 0, -7, 3/4, 72, 24, 8, 256

Irrational numbers in set U: 0.83, 289, 227