Multiplication and Division Inequalities Answers
What is the solution to ?
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.
What is the solution to the inequality ?
Which inequality has the solution set shown on the graph?
Which of these inequalities are equivalent to r > -11? Check all that apply.
Explain how solving -7y > 161 is different from solving 7y > -161.
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.
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
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
Question text not available
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.
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
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.
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.
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