Answer:
A.) Yes, because 0.064 is less than 0.4
Explanation:
The equation
is a counterexample to the given conjecture because 0.064 is less than 0.4. This shows that the cube of a number is not always greater than the number.
In general, the cube of a number is the result of multiplying the number by itself three times. For example, the cube of 2 is
, and the cube of 5 is
. The cube of a number is always greater than the number when the number is positive, because a positive number multiplied by itself three times is always a larger number. However, when the number is negative or a decimal, this is not always the case.
In the given equation, 0.4 is a decimal number, and
is the cube of 0.4. The result of this calculation is 0.064, which is less than 0.4. This means that the cube of 0.4 is not greater than 0.4, and therefore the given conjecture is false.