Question

3. If a is a nonzero integer and b is not an integer, which of the following could be an integer? A. a + b B. a - b C. ab D.2a-b

Answer 1

C. ab

Step-by-step explanation:

If a is a nonzero interger and b is not an integer, a + b, a - b or 2a - b will be not an integer. For example, if a = 2 and b = 0.5, then:

a + b = 2 + 0.5 = 2.5

a - b = 2 - 0.5 = 1.5

2a - b = 2(2) - 0.5 = 4 - 0.5 = 3.5

Where 2.5, 1.5 and 3.5 are not integers.

However, ab could be an integer. In this example, we get:

ab = 2(0.5) = 1

And 1 is an integer.

Therefore, the answer is ab