+1222 Solve the inequality x(x + 6) > 16 - x + 14 + x^2. Write your answer in interval notation.
+10 expand:
x^2+6x>16-x+14+x^2
cancel out x^2:
7x>30
x>30/7
in interval notation:
(30/7, ∞)
edited i made some silly mistakes
+1908 doeansodc has the right idea, but just mae a careless error.
He simplified it correctly to get \(x^2+6x>16-x+14+x^2 \)
Now, canceling out the x^2, we get
\(6x>16-x+14 \)
Isolating x, we have
\(7x > 30\\ x > 30/7\)
Thus, in interval notation, we have
\((30/7, \infty)\)
Thanks! :)
