Question

The quotient of two numbers is negative. What must be true about the two numbers?

The dividend is negative.
The divisor is negative.
Either the dividend or the divisor is negative, but not both.
Both the divisor and the dividend are negative.

Answer 1

C.

Explanation:

Proof below

Answer 2

Either the dividend or the divisor is negative, but not both

Explanation:

we know that

If both the dividend and divisor are negative, the quotient will be positive.

If only one of the dividend or divisor is negative, the quotient will be negative.

In other words, if the signs are the same the quotient will be positive, if they are different, the quotient will be negative

therefore

Either the dividend or the divisor is negative, but not both