Sample Response: Using the properties of equality on any equation will not change the solution set.When multiplying or dividing an inequality by a negative number you must reverse the inequality symbol or you will not get the correct solution set. Which did you include in your response? Check all that apply. Multiplying or dividing by the same value on both sides of an equation does not change the solution set Multiplying or dividing by the same positive value on both sides of an inequality does not change the solution set. D Multiplying or dividing by the same negative value on both sides of an inequality changes the sense of the inequality.

Question

Sample Response: Using the properties of equality on any equation will not change the solution set.When multiplying or dividing an inequality by a negative number you must reverse the inequality symbol or you will not get the correct solution set. Which did you include in your response? Check all that apply. Multiplying or dividing by the same value on both sides of an equation does not change the solution set Multiplying or dividing by the same positive value on both sides of an inequality does not change the solution set. D Multiplying or dividing by the same negative value on both sides of an inequality changes the sense of the inequality.

Answer 1

The correct answer is:D. Multiplying or dividing by the same negative value on both sides of an inequality changes the sense of the inequality.Explanation: When you multiply or divide an inequality by a negative number, you must reverse the inequality symbol to maintain the correct solution set. This is because multiplying or dividing by a negative number changes the direction of the inequality.

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