In a set defined by the constraints {x | x is a square number and x < 50}, wh

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Question: In a set defined by the constraints {x | x is a square number and x < 50}, which of the following numbers is included?

Options:

Correct Answer: 36

Solution:

Both 36 and 49 are square numbers less than 50, but since the question asks for one, 36 is the first valid option.

In a set defined by the constraints {x | x is a square number and x < 50}, which of the following numbers is included?

In a set defined by the constraints {x | x is a square number and x < 50}, which of the following numbers is included?

Step 1: Understand what a square number is. A square number is a number that can be expressed as the product of an integer multiplied by itself (e.g., 1, 4, 9, 16, etc.).
Step 2: List the square numbers starting from 1 and going up to the largest square number less than 50.
Step 3: Calculate the square numbers: 1^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25, 6^2 = 36, 7^2 = 49.
Step 4: Check which of these square numbers are less than 50. The valid square numbers are 1, 4, 9, 16, 25, 36, and 49.
Step 5: Identify the numbers from the options given in the question. In this case, we have 36 and 49 as options.
Step 6: Since the question asks for one valid square number less than 50, we can choose 36 as it is the first valid option.

Square Numbers – Square numbers are integers that are the square of an integer, such as 0, 1, 4, 9, 16, 25, 36, 49, etc.
Inequalities – Understanding the constraint 'x < 50' requires knowledge of how to compare numbers.
Set Notation – The question uses set notation to define a specific collection of numbers based on given criteria.