AnswersSC-Mathematics 6Multiplication and Division Inequalities

Multiplication and Division Inequalities Answers

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

Question illustration
A
A number line going from 27 to 37. An open circle is at 32. Everything to the right of the circle is shaded.
Option A
B
A number line going from 27 to 37. An open circle is at 32. Everything to the left of the circle is shaded.
Option B
C
A number line going from 3 to 13. An open circle is at 8. Everything to the left of the circle is shaded.
Option C
D
A number line going from 3 to 13. An open circle is at 8. Everything to the right of the circle is shaded.
Option D
2
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The table below shows an inequality and a number by which to divide both sides. InequalityDivide each side byWhat is the resulting true inequality?

Question illustration
A
Negative 25 less-than-or-equal-to negative 27
Option A
B
Negative 25 greater-than-or-equal-to negative 27
Option B
C
25 greater-than-or-equal-to 27
Option C
D
25 less-than-or-equal-to 27
Option D
3

Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below. Step Ren’s workStep 1Step 2Step 3Where, if any, did Ren first make a mistake in his work?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
No mistake found
4

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?

Question illustration
A
A number line going from 16 to 20. An open circle is at 18. Everything to the right of the circle is shaded.
Option A
B
A number line going from 16 to 20. An open circle is at 18. Everything to the left of the circle is shaded.
Option B
C
A number line going from 30 to 34. An open circle is at 32. Everything to the right of the circle is shaded.
Option C
D
A number line going from 30 to 34. An open circle is at 32. Everything to the left of the circle is shaded.
Option D
5

A sports club needs to raise at least $500 by selling chocolate bars for $2.50 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell in order to reach its goal. Which of the following must be true about the inequality and the resulting graph? Select three options.

A
The inequality should be written as .
Option A
B
The inequality should be written as .
Option B
C
The circle is open.
D
The circle is closed.
E
The arrow points right.
6

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

Question illustration
A
n less-than-or-equal-to negative 24
Option A
B
n greater-than-or-equal-to negative 24
Option B
C
The circle is open.
D
The circle is closed.
E
The arrow points right.
7

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

Question illustration
A
A number line going from negative 55 to negative 45. An open circle is at negative 50. Everything to the left of the line is shaded.
Option A
B
A number line going from negative 55 to negative 45. A closed circle is at negative 50. Everything to the left of the line is shaded.
Option B
C
A number line going from negative 55 to negative 45. An open circle is at negative 50. Everything to the right of the line is shaded.
Option C
D
A number line going from negative 55 to negative 45. A closed circle is at negative 50. Everything to the right of the line is shaded.
Option D
8

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

Question illustration
A
Negative 10 less-than negative 15
Option A
B
Negative 10 greater-than negative 15
Option B
C
10 less-than negative 15
Option C
D
10 greater-than negative 15
Option D
9

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?

A
15 s less-than 200
Option A
B
15 s greater-than 200
Option B
C
15 s less-than-or-equal-to 200
Option C
D
15 s greater-than-or-equal-to 200
Option D
10

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?

A
x greater-than-or-equal-to 40
Option A
B
x less-than-or-equal-to 40
Option B
C
x greater-than-or-equal-to 8
Option C
D
x less-than-or-equal-to 8
Option D

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