Consider the set defined by the constraints: {x | x is an even number and x >

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Question: Consider the set defined by the constraints: {x | x is an even number and x > 0}. Which of the following is a valid member of this set?

Options:

Correct Answer: 2

Solution:

The number 2 is the only even number greater than 0 among the options, thus it is a valid member of the set.

Consider the set defined by the constraints: {x | x is an even number and x > 0}. Which of the following is a valid member of this set?

Consider the set defined by the constraints: {x | x is an even number and x > 0}. Which of the following is a valid member of this set?

Step 1: Understand the set definition. The set is defined as {x | x is an even number and x > 0}. This means we are looking for numbers that are both even and greater than 0.
Step 2: Identify what an even number is. An even number is any integer that can be divided by 2 without leaving a remainder. Examples include 2, 4, 6, etc.
Step 3: Identify numbers greater than 0. Any positive number is considered greater than 0. Examples include 1, 2, 3, etc.
Step 4: Check the options provided to see which numbers are even and greater than 0.
Step 5: Determine which of the options is an even number greater than 0. In this case, the number 2 is even and greater than 0.
Step 6: Conclude that since 2 meets both criteria, it is a valid member of the set.

Even Numbers – Even numbers are integers that are divisible by 2 without a remainder.
Inequalities – The constraint x > 0 specifies that the number must be positive.