A and b are integers such that ab = -45 a > b
a) What do you know about the values a and b?

a) a is positive and b is negative

b) a = 3, b = -15.

Step-by-step explanation:

Inequalities and Equations:

We are given:

ab = -45

a > b

a) We don't know the values of a and b, but since their product is negative, there can be only two situations:

a is negative and b is positive

a is positive and b is negative

The condition a > b rules out the first situation, thus we are sure

a is positive and b is negative

b) Since a + b = -12 we can find the values of a and b. It can be done by solving a quadratic equation but we'll do it mentally.

We have to find two numbers whose sum is -12 and product is -45. It's not so hard to find the numbers are -15 and 3. Since a is positive and b is negative, the solution is

a = 3

b = -15

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