Set h is defined as h=x. which of the following is a subset of h? a.{2,13,23} b.x c.x is odd d.{1,2,3,4}

Question

set h is defined as h=x. which of the following is a subset of h? a.{2,13,23} b.x is an integer c.x is odd d.{1,2,3,4}

Answer 1

`H=\x=\{2;\ 3;\ 5;\ 7;\ 11;\ 13;\ 17;\ 19;\ 23;\ 29;\ 31;...\}\\\\A=\{2;\ 13;\ 23\}\\\\\boxed{A\subset H}`

Answer 2

a.{2,13,23}

Explanation:

set h is defined as h=x is prime

Some prime numbers are

2, 3, 5, 7, 11, 13, 17, 19, 23 ,29,31 and so on

a.{2,13,23} : 2, 13 and 23 are the prime numbers so they are the subset of h

b.x : all the integers are not prime numbers so it is not a subset of h

c.x: all the odd numbers are not prime numbers so it is not a subset of h

d.{1,2,3,4}: 4 is not a prime number so it is not a subset of h