Question 10 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
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 ?
Answer
A
a plus b is greater than or equal to 30 b is greater than or equal to a plus 10
B
a plus b is less than or equal to 30 b is less than or equal to a minus 10
C
a plus b is less than or equal to 30 b is greater than or equal to a plus 10
D
a plus b is greater than or equal to 30 b is less than or equal to a minus 10
Explanation
“The sum is at least 30” means a + b ≥ 30. Since b is the greater integer and the difference is at least 10, b − a ≥ 10, which is equivalent to b ≥ a + 10. Both inequalities appear in choice D.
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