7
QuizMultiple Choice

Inequalities in One Variable — Quiz

Question 7 • Integrated Math II CR SUSD (EX)

Which statement about solving inequalities is true?

Answer
A
Adding the same value to both sides of an inequality does not change the solution set.
B
Subtracting the same value from both sides of an inequality changes the solution set.
C
When multiplying both sides of an inequality by the same negative value, it is not necessary to reverse the inequality sign.
D
When dividing both sides of an inequality by the same positive value, it is necessary to reverse the inequality sign.

Explanation

Adding the same value to both sides preserves the inequality and keeps the same values as solutions. For example, x + 2 < 5 is equivalent to x < 3 after subtracting 2 from both sides. Multiplying or dividing by a negative value does require reversing the inequality sign, while dividing by a positive value does not.

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