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}