Question

Let U be the universal set consisting of all positive even numbers. Let A be the subset of U containing the multiples of 7. Which of the following numbers is in A? Select the correct answer below:

O 56
O 28
O 36
O 14

Answer 1

The numbers 56, 28, and 14 are multiples of 7 and also even, making them part of the subset A within the universal set U of all positive even numbers.

Step-by-step explanation:

The student's question involves identifying which number from a given list is a multiple of 7 and also an even number, making it part of the subset A within the universal set U of all positive even numbers. From the provided options, 56, 28, 36, and 14 are to be evaluated.

If we check each number, we find the following results:

• 56 is a multiple of 7 (7 x 8) and is even.
• 28 is a multiple of 7 (7 x 4) and is even.
• 36 is not a multiple of 7.
• 14 is a multiple of 7 (7 x 2) and is even.

Therefore, the numbers 56, 28, and 14 are in the subset A of U.