Question

the average number of seeds in a package of cucumber seed is 25. the number of seeds in the package can vary by plus or minus 2. a. write a compound inequality that represents how the number of seeds, n, in a packet may vary. b. which absolute value inequality represents the number of seeds that could be in a package, where n represents the number of seeds? \\(\circ |2 + 25| \geq n\\) \\(\circ |n + 2| > 25\\) \\(\circ |n - 2| < 25\\) \\(\circ |n - 25| \leq 2\\)

Explanation:

Step1: Define min/max seed counts

Minimum seeds: $25 - 2 = 23$; Maximum seeds: $25 + 2 = 27$

Step2: Write compound inequality

Combine min and max for $n$: $23 \leq n \leq 27$

Step3: Match absolute value inequality

Recall $|x - a| \leq b$ means $a-b \leq x \leq a+b$. Here $a=25$, $b=2$, so $|n - 25| \leq 2$.

Answer:

A. $23 \leq n \leq 27$
B. $|n - 25| \leq 2$