PRECALCULUS:GRAPHICAL,...-NASTA ED.
PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
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Chapter P.1, Problem 67E
Solution

Whether the given statement is true or false.

False

Given:

The additive inverse of a real number must be negative.

Concept Used:

  • Real numbers include all the positive and negative rational and irrational numbers.
  • The number 0 is neither positive nor negative.
  • The additive inverse of a number n is given by −n .

Calculation:

Recall that the real numbers include all the positive and negative rational and irrational numbers. The sum of a number and its additive inverse is 0. The additive inverse of a number is given by the same number with opposite sign.

So, the additive inverse of a negative number must be a positive number.

For example, the additive inverse of −2.16 is −−2.16​ or 2.16 .

Thus, the given statement that the additive inverse of a real number must be negative is False.

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Chapter P.1, Problem 66E
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Chapter P.1, Problem 68E

Chapter P Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

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