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Multiplication and Division Inequalities

Question 5 • SC-Mathematics 6

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

Answer
A
-r < 11
B
3r < -33
C
3r > -33
D
-3r < 33
E
-3r > 33

Explanation

Multiplying an inequality by a positive number keeps its direction, so multiplying r > -11 by 3 gives 3r > -33, choice C. Multiplying by a negative number reverses the direction: multiplying by -1 gives -r < 11, choice A, and multiplying by -3 gives -3r < 33, choice D. Choices B and E reverse the inequality incorrectly.

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