Final answer:
To determine which of the given numbers is irrational, we need to check if they can be expressed as a fraction or a terminating decimal. The correct answer is d. None of the above because all the given options are either rational numbers or not actual numbers at all.
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction or a ratio of two integers. It is a non-repeating, non-terminating decimal. To determine which of the given numbers is irrational, we need to check if they can be expressed as a fraction or a terminating decimal.
- a. 4.1507 - This number can be expressed as a fraction (like 41507/10000) and as a terminating decimal, so it is not irrational.
- b. 0 - This is a rational number because it can be expressed as a fraction (like 0/1).
- c. AOT - This is not a number, so it is not irrational.
- d. None of the above - The correct answer is d. None of the above because none of the given options are irrational numbers.