Question

Anna is no more than 3 years older than 2 times Jamie’s 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?

a ≥ 3 + 2j; j ≥ 14, a ≤ 35
a ≤ 3 + 2j; j ≥ 14, a ≤ 35
a ≥ 3 + 2j; j ≤ 14, a ≤ 35
a ≤ 3 + 2j; j ≤ 14, a ≤ 35

Answer 1

Answer: The answer is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.

Step-by-step explanation: Given that Anna is no more than 3 years older than 2 times Jamie’s age. Jamie is at least 14 and Anna is at most 35. We are to select the correct combination of inequalities among the given options.

Also, 'a' and 'j' are the possible ages of Anna and Jamie respectively. Therefore, according to the given information, we can write

`a\leq 2j+3,\\j\geq 14,\\a\leq 35.`

Thus, the correct option is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.