If a set is defined by the constraints 'x is an integer and x > 5', which of

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Question: If a set is defined by the constraints \'x is an integer and x > 5\', which of the following is NOT an element of this set?

Options:

Correct Answer: 5

Solution:

5 is not an element of the set because it does not satisfy the constraint \'x > 5\'.

If a set is defined by the constraints 'x is an integer and x > 5', which of the following is NOT an element of this set?

If a set is defined by the constraints 'x is an integer and x > 5', which of the following is NOT an element of this set?

Step 1: Understand the constraints given in the question. The constraints are 'x is an integer' and 'x > 5'.
Step 2: Identify what 'x > 5' means. It means that x must be greater than 5.
Step 3: List some integers greater than 5. For example, 6, 7, 8, etc.
Step 4: Now, consider the number 5. Is 5 greater than 5? No, it is equal to 5.
Step 5: Since 5 is not greater than 5, it does not satisfy the constraint 'x > 5'.
Step 6: Therefore, 5 is NOT an element of the set defined by the constraints.

Set Theory – Understanding the definition of a set based on given constraints.
Inequalities – Interpreting and applying inequalities to determine set membership.
Integer Properties – Recognizing the properties of integers in relation to the defined constraints.