Question

anna is no more than 3 years older than 2 times jamies age. jamie is at least 14 and anna is at most 35. which system of linear inequalities can be used to find the possible ages of anna, ( a ), and jamie, ( j )?
( circ ) ( a geq 3 + 2j; j geq 14, a leq 35 )
( circ ) ( a leq 3 + 2j; j geq 14, a leq 35 )
( circ ) ( a geq 3 + 2j; j leq 14, a leq 35 )
( circ ) ( a leq 3 + 2j; j leq 14, a leq 35 )

Explanation:

Step1: Analyze Anna's age inequality

Anna is no more than 3 years older than 2 times Jamie's age. "No more than" means $\leq$, so $a \leq 3 + 2j$.

Step2: Analyze Jamie's age inequality

Jamie is at least 14. "At least" means $\geq$, so $j \geq 14$.

Step3: Analyze Anna's age upper bound

Anna is at most 35. "At most" means $\leq$, so $a \leq 35$.

Answer:

B. $a \leq 3 + 2j; j \geq 14, a \leq 35$