Question

4. Write the following sets in the tabular form and find their cardinal numbers.
(1) A = {x|x eN.-1<x<3)
(11) B = {x|x is a prime number of one digit)
(111) C = {x|x is a two-digit number divisible by 15)
(iv) D = {x|x is a letter of the word BHARATI)


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Answer 1

4.

• A = { 1 , 2 }

• B = { 2 , 3 , 5 , 7 }

• C = { 15 , 30 , 45 , 60 , 75 , 90 }

• D = { B , H , A , R , T , I }

$\rule{10cm}{0.05cm}$

A = {x : x $\in$ N , -1 < x < 3 }

• natural numbers between -1 and 3 are 1 , 2 [ 3 not included]

• so , A = { 1 , 2 }

$\rule{10cm}{0.05cm}$

B = { x:x is a prime one - digit }

• one digit prime are 2 , 3 , 5 , 7

• so , B = { 2 , 3 , 5 , 7 }

$\rule{10cm}{0.05cm}$

C = { x : x is 2 - digit number divisible by 15 }

• so they are multiples of 15 ,

• 2 digit multiples of 15 are upto 90

• so, C = { 15 , 30 , 45 , 60 , 75 , 90 }

$\rule{10cm}{0.05cm}$

D = { x : x is a letter of word BHARATI }

• here the letters are B ,H ,A , R , A , T, I

• in sets repetition of elements are not allowed

• so , D = { B , H, A , R , T , I }

Answer 2

A = { 1 , 2 }

B = { 2 , 3 , 5 , 7 }

C = { 15 , 30 , 45 , 60 , 75 , 90 }

D = { B , H , A , R , T , I }

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