Multiplication and Division Inequalities

Question 1

Solve the following inequality. Which graph shows the correct solution?

Revolt · Accepted Answer

A number line going from 27 to 37. An open circle is at 32. Everything to the right of the circle is shaded.

Question 2

Cecilia correctly solved this inequality.Which graph matches the inequality?

Revolt · Accepted Answer

A number line going from 28 to 40. An open circle is at 34. Everything to the right of the circle is shaded.

Question 3

The table below shows an inequality and a number by which to divide both sides. InequalityDivide each side byWhat is the resulting true inequality?

Revolt · Accepted Answer

25 less-than-or-equal-to 27

Question 4

Mariya was asked to solve and then graph the solution. Her work is shown below. StepMariya’s work Step 1Step 2Step 3In which step, if any, did Mariya make a mistake in her work?

Revolt · Accepted Answer

Step 3

Question 5

A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 on the shorts. Which inequality represents the maximum cost of each pair, s, the coach can buy?

Revolt · Accepted Answer

15 s less-than 200

Question 6

Solve . Which of the following must be true about the inequality and the resulting graph? Select three options.

Revolt · Accepted Answer

n greater-than-or-equal-to negative 24; The circle is closed.; The arrow points right.

Question 7

Jonas runs a pet store that sells guinea pigs. He wants to ensure he has more than 1 pound of dry food for every five guinea pigs he has in the store. He currently has 8 pounds of dry food and wants to know how many guinea pigs can he have in the store. Write and solve an inequality to solve this problem. What is the solution to the inequality?

Revolt · Accepted Answer

x less-than-or-equal-to 40

Question 8

A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Select three options.

Revolt · Accepted Answer

The inequality should be written as .; The circle is open.; The arrow points left.

Question 9

Jose receives a $10 gift card for downloading music and wants to determine how many songs he can purchase. Each downloaded song costs $1.19. Write and solve an inequality to determine how many songs Jose can purchase. What does the solved inequality represent?

Revolt · Accepted Answer

With the $10 gift card, Jose can buy at most 8 songs.

Question 10

Three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting. The inequality representing this scenario is , where e represents the total number of employees. Which graph shows the solution to the inequality?

Revolt · Accepted Answer

A number line going from 30 to 34. An open circle is at 32. Everything to the left of the circle is shaded.

Multiplication and Division Inequalities Answers

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