Question

What number can replace the box so that the sets will be equivalent? {8, 9, 10, 11, ...20} and {15, 16, 17, 18, ... □}

Answer 1

Step-by-step explanation:

616

1 Answer. A fraction that is equivalent to 38 is 616

Answer 2

Answer:

27

Given:

{8, 9, 10, 11, ...20} and {15, 16, 17, 18, ... □}

To find:

What number can replace the box so that the sets will be equivalent?

Solution:

In order to be a equivalent set the sets should possess the same cardinality. i.e it can be stated that the two sets remain equivalent to each other if only the number of elements in both the sets remain equal. The sets don't need to hold the same elements.

Then the first set = {8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

it consists of 13 elements

In order to become a equivalent set the second set should also contain 13 elements

Then the second set = {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27}

Conclusion:

The number which replaces the box in order to make the sets equivalent is 27.

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