Question

A restaurant owner needs to order at least 176 filet mignon steaks to be stocked for a busy Friday night. He only has room to store 321 steaks in his refrigerator. Model the number of steaks the restaurant owner can order, using a compound inequality.

x ≥ 176 and x ≤ 321
x ≤ 176 and x ≥ 321
x ≤ 176 and x ≤ 321
x ≥ 176 and x ≥ 321

Answer 1

x ≥ 176 and x ≤ 321

Explanation:

Let

x -----> the number of steaks the restaurant owner can order

we know that

`x\geq 176` ----> inequality A

`x\leq 321` ----> inequality B

so

the compounded inequality is equal to

`176 \leq x \leq 321`