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.
A similar problem is given at https://brainly.com/question/22532602
