AnswersSC-Mathematics 6Multiplication and Division Inequalities

Multiplication and Division Inequalities Answers

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Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y < -23. Which did you include in your response? Check any that apply.You use the division property of inequality to isolate the vari

A
You use the division property of inequality to isolate the variable for both inequalities.
B
You need to reverse the direction of the inequality symbol when dividing both sides by a negative number.
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What is the solution to the inequality ?

Question illustration
A
x < 1,125
B
x > 1,125
C
x < 5
D
x > 5
4

Which inequality has the solution set shown on the graph?

A
-54n < 1080
B
-54n > 1080
C
594 > -11n
D
594 < -11n
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Which of these inequalities are equivalent to r > -11? Check all that apply.

A
-r < 11
B
3r < -33
C
3r > -33
D
-3r < 33
E
-3r > 33
6

Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.

A
You cannot divide by zero.
B
The inequality is equivalent to -20.2 > 0, which is false.
C
The solution is y > 0.
D
The solution is 0 > y.
E
The solution is y = 0.
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Sample response: If x represents the number of downloads, you can write the inequality 1.29x ≤ 20. Solving the inequality, you find that x is less than or equal to about 15.5. Since he can’t download part of a song, Joseph can download 15 or fewer songs. Check any that you included in your response.An inequality for the situation is .The approximate solution to the inequality is .This means he can download 15 or fewer songs.

A
An inequality for the situation is .
B
The approximate solution to the inequality is .
C
This means he can download 15 or fewer songs.
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Which inequality can be used to solve the problem?✔ x/15 4.2515x > 4.254.25x < 15

Answers:
Selection 1:x/15 < 4.25
Selection 2:She can have a maximum of 63 lizards in the store.
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Sample response: Yes, both students are correct. When multiplying by –7, the inequality symbol+ is reversed. The answers are the same, just written differently. In each case, the variable, x, is by itself. Both solutions say that x is the larger expression. Check any that you included in your response.solutions are the same, just written differentlyinequality sign is reversed when multiplying by a negative

A
solutions are the same, just written differently
B
inequality sign is reversed when multiplying by a negative
10

Solve the inequality. How can you interpret the solution?She can have fewer than 63 lizards in the store.She can have more than 64 lizards in the store.✔ She can have a maximum of 63 lizards in the store.She can have a maximum of 64 lizards in the store.

A
She can have fewer than 63 lizards in the store.
B
She can have more than 64 lizards in the store.
C
✔ She can have a maximum of 63 lizards in the store.
D
She can have a maximum of 64 lizards in the store.

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