{1,3,5,7,9,11}≠{x:X is a prime number X<12}
Answers
The given statement is true.
{1, 3, 5, 7, 9, 11} ≠ {x : x is a prime number where x < 12}
we know, a prime number is a natural number greater than 1 which cannot be formed by multiplying two smaller number.
for instance, 3, 5 , 13, 17 are prime numbers.
now from definition it is clear that {1, 3, 5, 7, 9, 11} is not a set of prime numbers less than 12. because we know, 9 is not a prime number because 9 = 3 × 3 [ it is formed by two smaller integers ] also 1 is not considered as a prime number.
{x : x is a prime number where x < 12} = {2, 3, 5, 7, 11}
here, it is also clear that, {1, 3, 5 ,7,9, 11} ≠ {2, 3, 5, 7, 11}
so, {1, 3, 5, 7, 9, 11} ≠ {x : x is a prime number x < 12}
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