Question

Is each biconditional statement true or false?

Select True or False for each statement.

1. A number is a multiple of 3 if and only if the number is odd. True or False

2. A number is even if and only if the number is divisible by 2. True or False

3. A number is divisible by 5 if and only if the number has a 0 or a 5 in the ones place. True or False

4. A number is prime if and only if the number is not a multiple of 4. True or False

Answer 1

Answer: 1. False

2. True

3. True

4.False

Explanation:

1. False, because 6 is a multiple of 3 but 6 is not an odd number.

2. True, all even numbers are multiple of 2, and thus divisible by 2. Any number that is divisible by 2 must be a multiple of 2. hence,the given biconditional statement in true.

3. True, all multiples of 5 has 0 or 5 in the ones place.

Thus the given biconditional statement is true.

4.False, because 6 is not a multiple of 4 but 6 is not a prime number.