Question

When solving inequalities, the inequality is reversed when

A.Subtracting both sides of the equal sign by a negative number

B.Multiplying both sides of the equal sign by a positive number.

C.Dividing both sides of the equal sign by a positive number.

D.Dividing both sides of the equal sign by a negative number.​

Answer 1

9514 1404 393

Answer:

  D. Dividing both sides of the equal sign by a negative number.​

Step-by-step explanation:

The inequality symbol is reversed when an operation is performed that changes ordering. The most usual cases are multiplication or division by a negative number.

For example:

  -2 < 1

  2 > -1 . . . . multiply or divide both sides by -1

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These operations are not the only ones that change ordering. Care must be taken when applying functions. f(x) = 1/x and f(x) = cos(x) are functions that potentially change ordering, for instance.

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We note that the question asks about inequalities, and the discussion above is about inequalities. However, the answer choices all refer to an equal sign. (?!) We assume the expected response is ...

  D.  Dividing both sides of the equal sign by a negative number.​