Write each of the sets given below in set7builder from:

(i) .


(ii) .


(iii) C = {53, 59, 61, 67, 71, 73, 79}.


(iv) D = {–1, 1}.


(v) E = {14, 21, 28, 35, 42, …., 98}.




Hence, we may write the set as



(ii)




Hence, we may write the set as



(iii) C = {53, 59, 61, 67, 71, 73, 79}


We know that prime numbers are those numbers which are divisible by 1 and the number itself.


e.g.


Here, all the given numbers are consecutive prime numbers greater than 50.


So, C = {x: x is a prime number and 50 < x < 80}


(iv) Here, in set D there are two elements -1 and 1


-1 and 1 are integers


So, the given set can be write as


D = {x: x is an integer and -2 < x < 2}


(v) 14 = 7 × 2


21 = 7 × 3


28 = 7 × 4


35 = 7 × 5


42 = 7 × 6


.


.


.


.


98 = 7 × 14


So, the given set can be write as


E = {x: x = 7n, n N and 1 ≤ n ≤ 14}


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