the sum of two positive integers, a and b, is at least 30. the difference of the two integers is at least…

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

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

Answer

Explanation:

Step1: Translate sum condition

The sum of two positive integers (a) and (b) is at least 30, so (a + b\geq30).

Step2: Translate difference condition

The difference of the two integers is at least 10 and (b) is the greater integer, so (b - a\geq10), which can be rewritten as (b\geq a + 10).

Answer:

a + b≥30, b≥a + 10