Sketch the graph of the inequality. (x + 2)2 + y2 > 1

2022-03-08 Answered
Sketch the graph of the inequality.(x + 2)2 + y2 > 1
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question2answer
Answered 2022-03-23 Author has 162 answers

(x+2)2+y2>1

Subtract (x+2)2 from both sides of the inequality.

y2>1-(x+2)2

Take the square root of both sides of the inequality to eliminate the exponent on the left side.

y2>1-(x+2)2

Simplify the equation.

|y|>(x+3)(-x-1)

Write |y|>(x+3)(-x-1) as a piecewise.

{-y>(x+3)(-x-1)-3y-1 

Solve -y>(x+3)(-x-1) when -3y-1.

−3≤y≤No(Minimum)-3yNo(Minimum)

Find the union of the solutions.

-3yiNoMinm2u

 


 

 

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