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Sphinxa [80]
4 years ago
6

Select the works written by Augustine of Hippo.

Mathematics
1 answer:
Alex73 [517]4 years ago
5 0

Answer:

Consolation of Philosopy..

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Answer:

\large\boxed{|x+7|\geq2}

Step-by-step explanation:

Look at the picture.

|x-a|\geq b\\\\a=\dfrac{-9+(-5)}{2}=\dfrac{-14}{2}=-7\\\\b=-9-(-7)=-9+7=-2\\b=-5-(-7)=-5+7=2\\\\|x-(-7)|\geq2\\\\|x+7|\geq2\\\\Check:\\\\|x+7|\geq2\iff x+7\geq2\ \vee\ x+7\leq-2\qquad\text{subtract 7 from both sides}\\\\x+7-7\geq2-7\ \vee\ x+7-7\leq-2-7\\\\x\geq-5\ \vee\ x\leq-9\qquad CORRECT\ :)

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