Math Problem Statement

B = { x | x is a perfect square number between 1 to 20 }

Solution

The image shows a mathematical set definition:

B={xx is a perfect square number between 1 to 20}B = \{ x \mid x \text{ is a perfect square number between 1 to 20} \}

To solve this, we need to list the perfect squares between 1 and 20. A perfect square is a number that can be written as n2n^2, where nn is an integer.

The perfect squares in this range are:

  • 12=11^2 = 1
  • 22=42^2 = 4
  • 32=93^2 = 9
  • 42=164^2 = 16

Therefore, the set BB is: B={1,4,9,16}B = \{1, 4, 9, 16\}

Would you like more details or have any questions about perfect squares or set notation? Here are some related questions to expand your understanding:

  1. What are the next five perfect squares after 16?
  2. How can you find whether a given number is a perfect square?
  3. What are the properties of perfect squares?
  4. What is the difference between perfect squares and prime numbers?
  5. Can negative numbers be perfect squares?

Tip: A quick way to check if a number is a perfect square is to find its square root and check if the result is an integer.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Perfect Squares
Number Theory

Formulas

n^2 where n is an integer

Theorems

Perfect square theorem

Suitable Grade Level

Grades 5-7