Generate Quiz 69FCE9B4968FD

Fractions cannot be used to represent irrational numbers. Pi (π) and the square root of 2 (√2) are two examples. These meet the question’s requirements.

This is a fundamental characteristic of numbers. All numbers are equal to one another.

An operation on any two elements in a set will produce an element that is also a part of the set, according to the closure property for a set and an operation. To put it another way, you obtain another member of the set if you perform the operation on members of the set. For the set {1}, none of the operations (addition, subtraction, division, and multiplication) meet the closure property.

Any number that can be represented as a fraction with an integer (whole number) in the numerator and a non-zero denominator is considered rational. Any number that cannot be represented in this manner as a fraction is considered irrational.

The decimal 0.1428571428571… repeats. A fraction can always be used to express this type of decimal representation.

Let us take the repeating decimal 0.5555, for instance.

We can allow this decimal to be equal to x. After that, we obtain the following by multiplying both sides of the equation by 10:

10x = 5.5555…

The result of subtracting the two equations is:

9 times is 5.

x = 5/9

Thus, the rational number 5/9 can be represented as 0.5555…

By using the same reasoning, we can determine that 0.1428571428571… is a rational number by expressing it as a fraction.

Suppose A={1,2,3,4} and B={3,4,5,6}.

A−B={1,2}

(A−B)∪B={1,2}∪{3,4,5,6}={1,2,3,4,5,6}=A∪B

Therefore, (d) A∪B is the right response. The union of sets A and B is the end result.This choice accurately implies that the union of sets A and B is the outcome.