If A i = {−i, ... −2, −1, 0, 1, 2, … i} Then \(\mathop \cup \lim
If Ai = {−i, ... −2, −1, 0, 1, 2, … i}
Then \(\mathop \cup \limits_{i = 1}^\infty {A_i}\) is
A. Z
B. Q
C. R
D. C
Please scroll down to see the correct answer and solution guide.
Right Answer is: A
SOLUTION
In this question, we have to define which type of numbers are given in the set Ai = {-i, ……-2, -1, 0, 1, 2, ……i}
Various type of number with their representation symbol are:
Rational numbers:
A rational number is any real number that can be written as a fraction or in p/q form where p and q are integers. Rational numbers are denoted by Q.
Complex number:
Complex numbers are represented in the form of a + bi where a and b are real numbers and i stands for iota which has only two values either -1 or 1. Complex numbers are denoted by C.
Real numbers:
Real numbers include both rational and irrational numbers. These are denoted by R.
Integers:
Integers are like whole numbers, but they also include negative numbers. The range is from – infinity to + infinity. They are denoted by Z.
So, set Ai = {−i, ... −2, −1, 0, 1, 2, ..... i}
Is the set of all integers which are denoted by Z.