Answered

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Which statement is true? 
 
A.|–8|< |8|  

B.|–2| > 1  

C.|–7| = –7  

D.|12| > |–15|

Sagot :

mariamikayla
We aplly the rules of the module:

[tex]|x| = \left \{ {{-x \ ; \ \ x<0} \\ \atop {x \ ; \ x \geq 0}} \right.[/tex]

So, we have:

[tex]A) |-8| < |8| \\\\ 8 < 8 \to\to False \to\boxed{8=8} \\\\ B) |-2| >1 \\\\ \boxed{\boxed{2>1}} \to\to True \\\\ C) |-7|=-7 \\\\ 7=-7 \to\to False \\\\ D)|12|>|-15| \\\\ 12>15 \to\to False[/tex]

The right answer is variant B.
Letter B is true because the absolute value of -2 is 2. The mouth is opened towards the 2 and |-2| is greater than 1.
It is just as if saying 2 is greater than 1
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