The smallest real number in the solution set of 2x > 6 is 4.
A) True
B) False - The smallest real number in the solution set of 2x > 6 is 3.
C) False - The smallest real number in the solution set of 2x > 6 is a number greater than 3. For example, 3.01 is a real number that is in the solution set.
To determine the smallest real number in the solution set of 2x > 6, we need to solve the inequality.
Starting with 2x > 6, we can divide both sides of the inequality by 2 to isolate the variable:
x > 3
This inequality states that x is greater than 3. Therefore, any real number that is greater than 3 is in the solution set.
Hence, the correct answer is C) False - The smallest real number in the solution set of 2x > 6 is a number greater than 3. For example, 3.01 is a real number that is in the solution set.