Question

Write the following sets in roster form also cardinal number.
=
i) A = {x:xe N and 50 < x < 100}
ii) B = {x:x is an integer and x?
4}
iii) C = {x: x is a letter in the word LOYAL}
iv) D = {x:x is a letter in the word MATHEMATICS}
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Answer 1

The answer is given in the form of a picture which is attached to this. Please check it once.

I have not understood question (ii) so i had not answered it.

Hope this helps you.

Answer 2

Step-by-step explanation:

Given:-

i) A = {x:xe N and 50 < x < 100}

ii) B = {x:x is an integer and x?= 4}

iii) C = {x: x is a letter in the word LOYAL}

iv) D = {x:x is a letter in the word MATHEMATICS}

Correction:-

ii) B = {x:x is an integer and x^2= 4}

To find:-

Write the following sets in roster form also cardinal number.

Solution:-

I) A = {x:x €N and 50 < x < 100}

A= {51,52,53,...,99}

Number of elements in A = 49

Cardinal number of A = n(A)=49

2)B = {x:x is an integer and x^2= 4}

x^2 = 4

=>x=±√4

=>x = ±2

=>x=2 or -2

B={2,-2}

Number of elements in B = 2

Cardinal number of B =n(B)= 2

3)C = {x: x is a letter in the word LOYAL}

C={L,O,Y,A}

Number of elements in C = 4

Cardinal number of C = n(C)=4

4)D = {x:x is a letter in the word MATHEMATICS}

D={M,A,T,H,E,I,C,S}

Number of elements in D = 8

Cardinal number of D = n(D)= 8