happyaccidents101
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  • 03-09-2020
  • Mathematics
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Which statement is true? Question 3 options: A) – |13| = 13 B) |13| = – 13 C) – |–13| = 13 D) |–13| = 13

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ZJSG09112007
ZJSG09112007 ZJSG09112007
  • 03-09-2020

Answer:

D) |–13| = 13

Step-by-step explanation:

[tex]- |13| = 13 : \mathrm{False}\\\\\mathrm{Simplify\:}-\left|13\right|:\quad -13\\-13=13\\[/tex]

Option B

[tex]\left|13\right|=-13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}\left|13\right|:\quad 13\\13=-13[/tex]

Option C

[tex]-\left|-13\right|=13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}-\left|-13\right|:\quad -13\\-13=13[/tex]

Option D

[tex]\left|-13\right|=13 ; True\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\\left|-13\right|=13\\\\13=13[/tex]

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