Multiplication and Division Inequalities

Question 1

A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded.

Revolt · Accepted Answer

A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded.

Question 2

Which did you include in your response? Check any that apply.

Revolt · Accepted Answer

You use the division property of inequality to isolate the variable for both inequalities.; You need to reverse the direction of the inequality symbol when dividing both sides by a negative number.

Question 3

What is the solution to ?

Revolt · Accepted Answer

m > -49

Question 4

What is the solution to the inequality ?

Revolt · Accepted Answer

x < 1,125

Question 5

Which inequality has the solution set shown on the graph?

Revolt · Accepted Answer

594 > -11n

Question 6

Which of these inequalities are equivalent to r > -11? Check all that apply.

Revolt · Accepted Answer

-r < 11; 3r > -33; -3r < 33

Question 7

Explain how solving -7y > 161 is different from solving 7y > -161.

Revolt · Accepted Answer

To solve -7y > 161, you must divide both sides by -7, which requires reversing the inequality symbol to obtain y -161, you divide both sides by 7, which does not require reversing the symbol, resulting in y > -23. The main difference is whether you flip the inequality sign based on the sign of the divisor.

Question 8

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

Revolt · Accepted Answer

You cannot divide by zero.; The inequality is equivalent to -20.2 > 0, which is false.

Question 9

Question 9

Revolt · Accepted Answer

Both students are correct. When multiplying an inequality by a negative number like -7, the inequality symbol must be reversed. The two solutions, x > -14 and -14 < x, are equivalent because they both state that x is greater than -14, just written in a different order.

Question 10

Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.

Revolt · Accepted Answer

To determine the number of songs Joseph can purchase, let x represent the number of downloads. Since each song costs $1.29 and he has a limit of $20, the inequality is 1.29x ≤ 20. To solve, divide both sides by 1.29, which gives x ≤ 15.503... Since he cannot buy a fraction of a song, he can download at most 15 songs.

Multiplication and Division Inequalities Answers

More from this Course

TRY EDGENUITY HACKS