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?\no a + b≥30 b≥a + 10\no a + b≥30 b≤a - 10\no a + b≤30 b≥a + 10\no 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?\no a + b≥30 b≥a + 10\no a + b≥30 b≤a - 10\no a + b≤30 b≥a + 10\no a + b≤30 b≤a - 10

Answer

Explanation:

Step1: Translate sum condition

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

Step2: Translate difference condition

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

Answer:

A. (a + b\geq30), (b\geq a + 10)