Write the following set in roster form: {x | x is a prime number which is a divisor of 60}

To write the set {x | x is a prime number which is a divisor of 60} in roster form, we first need to identify all the prime numbers that are divisors of 60.

First, let’s list all the divisors of 60:

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 10
  • 12
  • 15
  • 20
  • 30
  • 60

Next, we identify which of these divisors are prime numbers. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.

From the list above, the prime numbers that are divisors of 60 are:

  • 2
  • 3
  • 5

Therefore, the set in roster form is:

{2, 3, 5}

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