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Equal Sets

Stat whether ...

Question

Stat whether the following pairs of sets are equal or not
(I) A={x:x is a letter of the world 'paper'} and A = set of digits in the number 59672
(ii) A={x:x is a letter of the world 'pepar'} and B = set of digits in the number 756889

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Solution

We have,

(I). $A = {x : x is a letter of the world paper}$ and $A =$ Set of digit the number $59672$

Then,

$A = {p, a, e, r} \neq {5, 9, 6, 7, 2}$

Because It has not equal and similar elements.

(II). $B = {x : x is a letter of the world pepar}$ $B =$ Set of digit the number $756889$

Then, $B = {p, e, a, r} \neq {7, 5, 6, 8, 8, 9}$

Because It has not equal and similar elements.

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Similar questions

Write the following sets in roster form:

(i) A = {x : x is an integer and -3 < x < 7}

(ii) B = {x : x is a natural number less than 6 }

(iii) C = {x : x is a two-digit natural number such that the sum of its digits is 8 }

(iv) D = {x : x is a prime number which is divisor of 60}

(v) E = The set of all letters in the word TRIGONOMETREY

(vi) F = The set of all letters in the word BETTER

Describe the following sets in Roster form :

(i) {x : x is a letter before e in the English alphabet}.

(ii) { $x ϵ N : x^{2} < 25$ }

(iii) { $x ϵ N$ : x is a prime number, 10 < x < 20}.

(iv) $x ϵ N : x = 2 n, n ϵ N$ .

(v) $x ϵ R : x > x$ .

(vi) {x : x is a prime number which is a divisor of 60}

(vii) {x : x ix a two digit number such that the sum of its digits is 8}.

(viii) The set of all letters in the word ' Trigonometry'.

(ix) The set of all letters in the word 'Better'.

A = {x : x

}

A =

59678

A = {x : x is an integer and - 3 < x < 7}

B = {x : x is a natural number less than 6}

C = {x : x is a two-digit natural number such that the sum of its digits is 8}

D = {x : x is a prime number which is divisor of 60}

E =

F =

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