P is an odd number. Q is an even number. Explain why P × Q + 1 is always an odd number?

An odd number times an even number is always even

e.g 2 × 3 = 6

4 × 5 = 20

adding 1 to an even number makes it odd

6 + 1 = 7

20 + 1 = 21

hope this helps...

P is an odd number

Q is an even number

Now, product of a odd number and even number is always even number.

Therefore, P×Q is a even number

Now, by adding 1 to the even number it becomes odd.

Hence, P×Q+1 is always an odd number.

d is the answer

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: