Question

Which of the sets shown includes the elements of Set Z that are both odd numbers and multiples of 5?

Z = {−15, −12, −10, 2, 7, 10, 20}
Which of the sets shown includes the elements of Set Z that are both odd numbers and multiples of 5?

Z = {−15, −12, −10, 2, 7, 10, 20}

Answer 1

Answer: {−15, 7}

Explanation:

To find the elements in Set Z that are both odd numbers and multiples of 5, we need to identify the elements in Set Z that satisfy both of these conditions.

1. Odd numbers: Odd numbers are integers that are not divisible by 2.

2. Multiples of 5: Multiples of 5 are integers that can be obtained by multiplying 5 by another integer.

Let's go through each element in Set Z and determine if it meets both conditions:

-15: Odd and a multiple of 5.

-12: Neither odd nor a multiple of 5.

-10: Neither odd nor a multiple of 5.

2: Neither odd nor a multiple of 5.

7: Odd and not a multiple of 5.

10: Neither odd nor a multiple of 5.

20: Neither odd nor a multiple of 5.

So, the elements in Set Z that are both odd numbers and multiples of 5 are -15 and 7.

The set that includes these elements is {−15, 7}.