If x is positive and y is negative, which of the following must be true? Choose the correct choice from the following.
A) The product of x and y is positive B) The sum of x and y is positive C) The sum of x and y is negative D) The difference of x and y is positive E) The sum of x^2 and y^2 is positive
To solve this question, we need to remember the following things:   -ve * -ve = +ve   +ve *+ve = +ve   -ve * +ve = -ve   Given that x = +ve and y = -ve   Checking the options:   A. The product of x and y is positive. FALSE   B. The sum of x and y is positive.   Cannot be said. This will depend on the values of x and y   C. The sum of x and y is negative   This will depend on the values of x and y   D. The difference of x and y is positive   This will depend on the values of x and y   E. The sum of x^2 and y^2 is positive   This will always be true as the square of any number is always +ve   And the summation of 2 positive numbers will always be positive.   Correct Option: The sum of x^2 and y^2 is positive
<result>E</result>
If x is positive and y is negative, which of the following must be true?