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Solve the inequality x(x + 6) > 16 - x + 14 + x^2. Write your answer in interval notation.

 Feb 14, 2024

Best Answer 

 #1
avatar+1622 
+2

\(x(x+6)>x^2-x+30\) 

\(x^2+6x>x^2-x+30\)

\(6x>-x+30\)

\(7x>30\)

\(x>{30\over{7}}\)

 

In interval notation, your answer is (30/7, inf)

 Feb 14, 2024
 #1
avatar+1622 
+2
Best Answer

\(x(x+6)>x^2-x+30\) 

\(x^2+6x>x^2-x+30\)

\(6x>-x+30\)

\(7x>30\)

\(x>{30\over{7}}\)

 

In interval notation, your answer is (30/7, inf)

proyaop Feb 14, 2024

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