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Studentka2010 [4]
3 years ago
13

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 greate

r integer, which system of inequalities could represent the values of a and b?

Mathematics
2 answers:
spin [16.1K]3 years ago
5 0
A+b > 30

b-a > 10

hope it helps :)
kramer3 years ago
5 0

Answer:

a+b\geq 30\\b-a\geq 10\\b>a

Step-by-step explanation:

Givens

  • The sum of two positive integers is at least 30.
  • Their difference is at least 10.
  • b is greater than a.

With this information, we can find a system of inequalities. Remember that "at least" means that the sum of these number is 30 or more, and their difference is 10 or more. So

a+b\geq 30\\b-a\geq 10\\b>a

The solution of this system is attached. Remember that the solution of a system of inequalities is a graphic solutions, the intersection of all three areas is the solution.

However, the problem is just asking for the system that could represent this situation. So, the answer is

a+b\geq 30\\b-a\geq 10\\b>a

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