Which expression below is a counterexample to the following statement?
If a number is divisible by 3, then it is divisible by 6.
15 is divisible by 3, but is not divisible by 6.
42 is divisible by 3, so it is divisible by 6.
6 is divisible by 2 and 3, so it is divisible by 6
18 is divisible by 6, so it is divisible by 3.
15 is divisible by 3, but is not divisible by 6.
The counterexample to the statement "If a number is divisible by 3, then it is divisible by 6" is 15.
The correct answer is "15 is divisible by 3, but is not divisible by 6."
To determine this, we need to find a number that is divisible by 3 but not divisible by 6.
So, we can start by checking if 15 can be divided evenly by 3. By performing the division, we see that 15 divided by 3 equals 5. Since the quotient is a whole number, we conclude that 15 is divisible by 3.
Next, we need to check if 15 is divisible by 6. By performing the division, we find that 15 divided by 6 equals 2.5. The quotient is not a whole number, indicating that 15 is not divisible by 6.
Since 15 is divisible by 3 but not divisible by 6, it serves as a counterexample to the statement "If a number is divisible by 3, then it is divisible by 6."