Question

Let A = {x : x is a prime number less than 10}
(i) Write A in the roster form.

(ii) Number of subsets of A = ________.

(a) 16 (b) 8 (c) 32 (d) 4​

Answer 1

Answer:

i) { 2,3,5,7}

ii)16 option (a)

Answer 2

SOLUTION

TO EVALUATE

Let A = { x : x is a prime number less than 10 }

(i) Write A in the roster form.

(ii) Number of subsets of A = ________.

(a) 16 (b) 8 (c) 32 (d) 4

EVALUATION

1. Here the given set is

A = { x : x is a prime number less than 10 }

The prime numbers less than 10 are 2 , 3 , 5 , 7

Hence the required set in the roster form

A = { 2 , 3 , 5 , 7 }

2. We see that

A = { 2 , 3 , 5 , 7 }

n(A) = 4

Number of subsets of A

$= {2}^{4}$

$= 16$

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