Question

The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, which system of inequalities could represent the values of a and b?

Answer 1

a + b ≥ 30 b ≥ a + 10 is the answer

Answer 2

From the statement that the sum of two positive integers, a and b, is at least 30 we can write the following: a+b>=30

From the statement that the difference of the two integers is at least 10 we can write: a-b>=10

If b is the greater integer, the following system of inequalities could represent the values of a and b:

a+b>=30

b-a>=10