Question

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

Answer 1

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

Answer 2

Answer:

a.{2,13,23}

Step-by-step explanation:

set h is defined as h={x|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|x is an integer} : all the integers are not prime numbers so it is not a subset of h

c.{x|x is odd}: 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