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Which number sentence is not true?
OA) |-1|>1/2
OB) |=1|-1
OC) |1/2|<|-1
OD) |-1/2|<|-1


Which Number Sentence Is Not True OA 1gt12 OB 11 OC 12lt1 OD 12lt1 class=

Sagot :

Using the concept of absolute value, it is found that the sentence |-1| = -1, given by option B, is not true.

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The absolute value is the distance of a point to the origin, and as a function, is defined by:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

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Item a:

[tex]|-1| = -(-1) = 1 > \frac{1}{2}[/tex]

Thus, statement a is true.

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Item b:

As found in item a, [tex]|-1| = 1[/tex], thus, this statement is false, and is the answer to this question.

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Item c:

[tex]|\frac{1}{2}| = \frac{1}{2} < 1[/tex]

Thus, statement c is true.

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Item d:

[tex]|-\frac{1}{2}| = -(-\frac{1}{2}) = \frac{1}{2} < 1[/tex]

Thus, statement d is true.

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