Which statement about solving inequalities is true? Adding the same value to both sides of an inequality does not change the solution set. Subtracting the same value from both sides of an inequality changes the solution set. When dividing both sides of an inequality by the same positive value, it is necessary to reverse the inequality sign. When multiplying both sides of an inequality by the same negative value, it is not necessary to reverse the inequality sign.

Question

Mathematics

Woods

17 July, 09:57

Which statement about solving inequalities is true? Adding the same value to both sides of an inequality does not change the solution set. Subtracting the same value from both sides of an inequality changes the solution set. When dividing both sides of an inequality by the same positive value, it is necessary to reverse the inequality sign. When multiplying both sides of an inequality by the same negative value, it is not necessary to reverse the inequality sign.

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Answers (2)

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Lana Lawrence · Answer 1

Adding the same value to both sides of an inequality does not change the solution set.

Step-by-step explanation:

When we add the same value to or subtract the same value from both sides of an inequality, then the inequality remains same or true.

Similarly, when we multiply or divide both sides of an inequality by the same positive number, then the inequality is still same.

But when we multiply or divide both sides of an inequality by the same negative number, then we should flip the inequality sign around.

Like say if a>b, and we multiply through by - 5, then - 5a<-5b.

Hence, the correct answer will be:

Adding the same value to both sides of an inequality does not change the solution set.

Taylor French · Answer 2

Adding the same value to both sides of an inequality does not change the solution set.

Step-by-step explanation:

The equation is still balanced if you add the same number to both sides.