2.2.6 check your understanding\nthe number 18 is a counterexample for which of the following conditional…

2.2.6 check your understanding\nthe number 18 is a counterexample for which of the following conditional statements?\nif a number is divisible by 2, it is even.\nif a number is odd, then it is not divisible by 2.\nif a number is even, then it ends with 0, 2, 4, 6, or 8.\nif a number is divisible by 2, then it is also divisible by 4.

2.2.6 check your understanding\nthe number 18 is a counterexample for which of the following conditional statements?\nif a number is divisible by 2, it is even.\nif a number is odd, then it is not divisible by 2.\nif a number is even, then it ends with 0, 2, 4, 6, or 8.\nif a number is divisible by 2, then it is also divisible by 4.

Answer

Explanation:

Step1: Analyze the first statement

The statement "If a number is divisible by 2, it is even." Since 18 is divisible by 2 ($18\div2 = 9$) and 18 is even, 18 is not a counter - example.

Step2: Analyze the second statement

The statement "If a number is odd, then it is not divisible by 2." 18 is not odd, so it cannot be a counter - example for this statement.

Step3: Analyze the third statement

The statement "If a number is even, then it ends with 0, 2, 4, 6, or 8." 18 is even and ends with 8, so it is not a counter - example.

Step4: Analyze the fourth statement

The statement "If a number is divisible by 2, then it is also divisible by 4." 18 is divisible by 2 ($18\div2=9$), but $18\div4 = 4.5$, 18 is not divisible by 4. So 18 is a counter - example for this statement.

Answer:

If a number is divisible by 2, then it is also divisible by 4.