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.
question 2(multiple choice worth 1 points) (01.05 mc) a cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,462. model the numbers of passengers that need to be booked to ensure the cruise line makes a profit, using a compound inequality. x ≤ 2,052 and x ≥ 2,462 x ≥ 2,052 and x ≤ 2,462 x ≤ 2,052 and x ≤ 2,462 x ≥ 2,052 and x ≥ 2,462
question 3(multiple choice worth 1 points) (01.05 mc) which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39? a number line with closed circles at negative 3 and 6 and shading in between. number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right. number line with open dots at negative 2 and 5 with shading in between. number line with shading everywhere.
question 4(multiple choice worth 1 points) (01.05 lc) which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6? −3x − 6 > −33 and −3x − 6 ≥ −6 −3x − 6 < −33 and −3x − 6 ≥ −6 −3x > −33 and −6 ≥ −6 −3x − 6 < −33 and −3x − 6 ≤ −6
question 5(multiple choice 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
question 6(multiple choice worth 1 points) (01.05 mc) a cable company claims that the average household pays $78 a month for a basic cable plan, but it could differ by as much as $20. write an absolute value inequality to determine the range of basic cable plan costs with this cable company. |x − 78| ≥ 20 |x − 20| ≥ 78 |x − 20| ≤ 78 |x − 78| ≤ 20
question 7(multiple choice worth 1 points) (01.05 mc) walter is 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.
question 8(multiple choice 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
question 9(multiple choice worth 1 points) (01.05 lc) the label on the car's antifreeze container claims to protect the car between −30°c and 130°c. to covert 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 thirty is greater than five ninths times the quantity f minus thirty two is greater than one hundred thirty. negative thirty is less than five ninths times the quantity f minus thirty two is less than one hundred thirty. negative thirty 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 thirty.
question 10(multiple choice 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