Question

Which of the following p divided by q expressions would produce a positive quotient?

a. Positive p and negative a

b. Positive p and positive q

c. Negative p and negative

d. Negative p and positive a

e. Both a and b

f. Both b and c

Answer 1

Alright so:

?p/?q ---> positive quotient

Let's try with a bunch of numbers.

______

a.) positive p and negative q

If we divide +6 by -3, we would get -2, which is negative. So this is the wrong answer.

b.) positive p and positive q

If we divide +6 by +3, we would get +2, which is positive. This is a correct answer.

c.). negative p and negative q

If we divide -6 by -3, we would get +2, which is positive. This is also a correct answer.

d.) negative p and positive q

If we divide -6 by +3, we would get -2, which is negative. This is a wrong answer.

________

The positive answers are b & c, and so the correct answer is f, which states that b & c are the ones that give a positive quotient.

Hope this clears it.