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 + b ≥ 30 b ≥ a + 10
a + b ≥ 30 b ≤ a – 10
a + b ≤ 30 b ≥ a + 10
a + b ≤ 30 b ≤ a – 10

a + b ≥ 30,  b ≥ a + 10, the system of inequalities could represent the values of a and b

option A

Step-by-step explanation:

Here we have , 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, We need to find which system of inequalities could represent the values of a and b . Let's find out:

Let two numbers be a and b where b>a . Now ,

According to the given statement we have following inequality :

⇒

According to the given statement we have following inequality :

⇒

⇒

⇒

Therefore , Correct option is A) a + b ≥ 30,  b ≥ a + 10

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step-by-step explanation:

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