Question

Let A = {x : x is a prime number less than 10} (i) Write A in the roster form. (2) (ii) Number of subsets of A = ________. (a) 16 (b) 8 (c) 32 (d) 4​

Answer 1

option (a) is the answer

f

Answer 2

SOLUTION

TO DETERMINE

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

CONCEPT TO BE IMPLEMENTED

SET :

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

EVALUATION

(i)

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 roster form is

A = { 2 , 3 , 5 , 7 }

(ii)

Since the number of elements in A = 4

Number of subsets of A

$= {2}^{4}$

$= 16$

Hence the correct option is (a) 16

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$identify distinction between a relation and a function with suitable examples and illustrate graphically

https://brainly.in/question/23643145

2. Represent all possible one-one functions from the set A = {1, 2} to the set B = {3,4,5) using arrow diagram.

https://brainly.in/question/22321917