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?
a. a + b ≥ 30 b ≥ a + 10
b. a + b ≥ 30 b ≤ a – 10
c. a + b ≤ 30 b ≥ a + 10
d. a + b ≤ 30 b ≤ a – 10

I believe the correct answer from the choices listed above is option A.  If b is the greater integer, then the system of inequalities that could represent the values of a and b would be a + b ≥ 30 and b ≥ a + 10. Hope this answers the question. Have a nice day.

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.