1. Suppose a and b are real numbers where a > 0 and b < 0.

a. Is - a + b positive or negative. Explain how you know.

b. Is a - b positive or negative? Explain how you know.

c. Is b - a positive or negative. Explain how you know.

A is positive and b is negative from the info that they tell us

a. negative

a has to be negative because of the sign and b is going to be negative, so there is no way that there is going to be a positive if both are negative

b. positive

a is going to be positive because it says it in the beginning sentence it is and two negatives from the equation and b make a positive, so it is two positives

c. negative

b is negative and a is negative from the sign in the equation which make two negatives