Question

The sum of Audrey's age and her aunt Bella's age is more than 30 years. Bella's age is at least six more than twice Audrey's age. Which system of linear inequalities models this scenario? For this scenario, let a=
Aubrey's age and b=
Bella's age.

Answer 1

Let a = Audrey's age and b = Bella's age. The system is

a + b > 30
b ≥ 2a + 6

(Optionally include a ≥ 0 and b ≥ 0 since ages are nonnegative.)