Question

Question 1 (Worth 1 points)

(01.05 MC)

Which of the following is the correct graph of the solution to the inequality −13 > −5x + 2 > −28?

number line with open dots at 3 and 6 and shading in between

number line with a closed dot at 6 with shading to the right and another closed dot at 3 with shading to the left

number line with an open dot at 6 with shading to the right and another open dot at 3 with shading to the left

number line with closed dots at 3 and 6 with shading in between

Points earned on this question: 1

Question 2 (Worth 1 points)
(01.05 MC)

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

110 < 2x + 10 and 2x + 10 < 310

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

x > 50 and x < 150; Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.

x < 50 and x > 150; Ryan needs to consume less than 50 grams of carbohydrates or more than 150 grams of carbohydrates.

x > 60 and x < 160; Ryan needs to consume more than 60 grams of carbohydrates, but less than 160 grams of carbohydrates.

x < 60 and x > 160; Ryan needs to consume less than 60 grams of carbohydrates or more than 160 grams of carbohydrates.

Points earned on this question: 1

Question 3 (Worth 1 points)
(01.05 LC)

The label on a car's antifreeze container claims to protect the car at temperatures greater than −40°C and less than 140°C. To convert Celsius temperature to Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.

Negative forty is less than five ninths times the quantity F minus thirty two.

Five ninths times the quantity F minus thirty two is less than one hundred forty.

Negative forty is greater than five ninths times the quantity F minus thirty two is greater than one hundred forty.

Negative forty is less than five ninths times the quantity F minus thirty two is less than one hundred forty.

Points earned on this question: 1

Question 4 (Worth 1 points)
(01.05 LC)

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −36?

−3x − 6 > −33 and −3x − 6 ≥ −36

−3x − 6 < −33 and −3x − 6 ≥ −36

−3x > −33 and −6 ≥ −36

−3x − 6 < −33 and −3x − 6 ≤ −36

Points earned on this question: 0

Question 5 (Worth 1 points)
(01.05 MC)

The pH scale measures how acidic or basic a substance is. Bleach is said to have a pH of less than 14 and greater than 11. Model the normal range of pH values of bleach, using a compound inequality.

11 > x > 14

11 < x < 14

11 ≤ x ≤ 14

11 ≥ x ≥ 14

Points earned on this question: 1

Question 6 (Worth 1 points)
(01.05 MC)

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

Points earned on this question: 0

Question 7 (Worth 1 points)
(01.05 LC)

Solve the compound inequality 6b < 42 or 4b + 12 > 8.

b < 6 or b > 5

b < 7 or b > −1

b < 7 or b > 1

b > 6 or b < 5

Points earned on this question: 1

Question 8 (Worth 1 points)
(01.05 MC)

Which of the following is the correct graph of the compound inequality 4p + 1 > −15 and 6p + 3 < 45?

number line with an open circle on negative with shading to the right and an open circle on 7 with shading to the left

number line with an open circle on negative 4 with shading to the left and an open circle on 7 with shading to the right

number line with an open circle on negative 4 with shading to the right and a closed circle on 7 with shading to the left

number line with shading in both directions

Points earned on this question: 0

Question 9 (Worth 1 points)
(01.05 MC)

Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least 20 cookies but no more than 55. Solve the inequality and interpret the solution.

20 ≤ x + 15 ≤ 55

5 ≤ x ≤ 40; Walter needs to make at least 5 more cookies but no more than 40.

5 ≥ x ≥ 40; Walter needs to make less than 5 more cookies or more than 40.

35 ≤ x ≤ 70; Walter needs to make at least 35 more cookies but no more than 70.

35 ≥ x ≥ 70; Walter needs to make less than 35 more cookies or more than 70.

Points earned on this question: 1

Question 10 (Worth 1 points)
(01.05 MC)

To conserve water, many communities have developed water restrictions. The water utility charges a fee of $29, plus an additional $1.41 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household ranges from $54 to $82 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.)

54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be from 17.7 to 37.6 HCF.

54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be from 17.7 to 58.2 HCF.

54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be from 38.2 to 78.7 HCF.

54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be from 58.9 to 78.7 HCF.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Points earned on this question: 1