2.2.6 check your understanding\nthe number 2 is a counterexample for which of the following conditional…

2.2.6 check your understanding\nthe number 2 is a counterexample for which of the following conditional statements?\nif a number is divisible by 2, it is even.\nif a number is divisible by 3, it is odd.\nany integer squared is even.\nany integer cubed is odd.

2.2.6 check your understanding\nthe number 2 is a counterexample for which of the following conditional statements?\nif a number is divisible by 2, it is even.\nif a number is divisible by 3, it is odd.\nany integer squared is even.\nany integer cubed is odd.

Answer

Brief Explanations:

A counter - example disproves a conditional statement. For the statement "If a number is divisible by 3, it is odd", the number 2 is not divisible by 3, so it's not relevant. For "If a number is divisible by 2, it is even", 2 fits the statement, not a counter - example. For "Any integer squared is even", 1 squared is 1 (odd), but we are looking at 2. For "Any integer cubed is odd", 2 cubed is 8 (even), and 2 serves as a counter - example to this statement.

Answer:

Any integer cubed is odd.