Question

Q. 1: 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}

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Answer 1

Step-by-step explanation:

Given:-

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

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

To find:-

Write the given sets in roster form ?

Solution:-

i)

Given that

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

–3 ≤ x < 7 means the value of x is less than or equal to -3 and less than 7

x = -3,-2,-1,0,1,2,3,4,5,6

Roster form of the set A ={-3,-2,-1,0,1,2,3,4,5,6}

ii)

Given that

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

natural number less than 6 are 1,2,3,4,5

x= 1,2,3,4,5

Roster form of the set B = {1,2,3,4,5}

Answer:-

I)Roster form of the set A ={-3,-2,-1,0,1,2,3,4,5,6}

ii)Roster form of the set B = {1,2,3,4,5}

Used Concept:-

• Every set can be represented as set builder form,roster form and Venn diagrams.
• In roster form, all the elements of a set are listed, the elements are being separated by commas and are enclosed within braces.
• : or / are used in the set builder form and they are read as such that.
• In set builder form ,we write the common property of the elements in the given set.

Answer 2

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