If a set D is defined as {x | x is a positive integer and x is less than or equa

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Question: If a set D is defined as {x | x is a positive integer and x is less than or equal to 15}, how many elements are in set D?

Options:

Correct Answer: 15

Solution:

Set D includes all positive integers from 1 to 15, which totals 15 elements.

If a set D is defined as {x | x is a positive integer and x is less than or equal to 15}, how many elements are in set D?

If a set D is defined as {x | x is a positive integer and x is less than or equal to 15}, how many elements are in set D?

Step 1: Understand what a set is. A set is a collection of distinct objects or numbers.
Step 2: Look at the definition of set D, which is {x | x is a positive integer and x is less than or equal to 15}.
Step 3: Identify what 'positive integers' are. Positive integers are whole numbers greater than 0, like 1, 2, 3, etc.
Step 4: Determine the range of positive integers that are less than or equal to 15. This means we include all numbers from 1 up to 15.
Step 5: List the positive integers from 1 to 15: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.
Step 6: Count the numbers in the list. There are 15 numbers total.
Step 7: Conclude that the number of elements in set D is 15.

Set Definition – Understanding how to define a set based on given conditions.
Counting Elements – Ability to count the number of elements in a defined set.