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

Ashlynn is trying a low-carbohydrate diet. She would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:

460 < 2x + 10 and 2x + 10 < 660

Solve for x in the inequality, and explain what the answer represents.

x > 235 and x < 335; Ashlynn needs to consume more than 235 grams of carbohydrates, but less than 335 grams of carbohydrates.
x < 235 and x > 335; Ashlynn needs to consume less than 235 grams of carbohydrates or more than 335 grams of carbohydrates.
x > 225 and x < 325; Ashlynn needs to consume more than 225 grams of carbohydrates, but less than 325 grams of carbohydrates.
x < 225 and x > 325; Ashlynn needs to consume less than 225 grams of carbohydrates or more than 325 grams of carbohydrates.