If a set A is defined by the constraints x > 5 and x < 10, which of the fo

₹0.0

Question: If a set A is defined by the constraints x > 5 and x < 10, which of the following numbers is NOT a member of set A?

Options:

Correct Answer: 10

Solution:

The number 10 does not satisfy the constraint x < 10, hence it is not a member of set A.

If a set A is defined by the constraints x > 5 and x < 10, which of the following numbers is NOT a member of set A?

If a set A is defined by the constraints x > 5 and x < 10, which of the following numbers is NOT a member of set A?

Step 1: Understand the constraints for set A. The constraints are x > 5 and x < 10.
Step 2: Identify what these constraints mean. x > 5 means any number greater than 5 is included, and x < 10 means any number less than 10 is included.
Step 3: Determine the range of numbers that are in set A. Set A includes numbers greater than 5 but less than 10, like 6, 7, 8, and 9.
Step 4: Check the number 10 against the constraints. The constraint x < 10 means that 10 is not included in set A because it is not less than 10.
Step 5: Conclude that since 10 does not satisfy the constraint x < 10, it is NOT a member of set A.

Inequalities – Understanding and interpreting inequalities to determine membership in a set.
Set Notation – Using set notation to define the boundaries of a set based on given constraints.