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In a scenario where a set is defined by the constraints of being both a square n

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Question: In a scenario where a set is defined by the constraints of being both a square number and less than 50, which of the following is NOT a member of this set?

Options:

  1. 1
  2. 4
  3. 9
  4. 49

Correct Answer: 49

Solution: 

49 is a square number but is included in the set; however, if the constraint was \'less than or equal to 48\', then it would not be included.

In a scenario where a set is defined by the constraints of being both a square n

Practice Questions

Q1
In a scenario where a set is defined by the constraints of being both a square number and less than 50, which of the following is NOT a member of this set?
  1. 1
  2. 4
  3. 9
  4. 49

Questions & Step-by-Step Solutions

In a scenario where a set is defined by the constraints of being both a square number and less than 50, which of the following is NOT a member of this set?
  • 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, 25, 36, 49).
  • Step 2: List all square numbers that are less than 50. These are: 1, 4, 9, 16, 25, 36, 49.
  • Step 3: Identify the constraints given in the question. The number must be a square number and also less than 50.
  • Step 4: Check if 49 is less than 50. Since 49 is less than 50, it is included in the set.
  • Step 5: Consider the alternative constraint mentioned: 'less than or equal to 48'. Under this constraint, 49 would not be included in the set.
  • Square Numbers – Numbers that can be expressed as the product of an integer with itself.
  • Inequalities – Mathematical expressions that show the relationship between numbers, indicating whether one is less than, greater than, or equal to another.
  • Set Membership – Determining whether an element belongs to a defined set based on given criteria.
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