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.

Question

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

Answer 2

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.

Answer 3

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

To solve for x, we first need to isolate the variable in the inequality. We do this by subtracting 10 from both sides of the compound inequality:

460 < 2x + 10 < 660
450 < 2x < 650

Then, we divide by 2 to get the value of x:

225 < x < 325

So, Ashlynn needs to consume more than 225 grams of carbohydrates, but less than 325 grams of carbohydrates.