+1501 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
+1950 doeansodc has the right idea, but just mae a careless error.
He simplified it correctly to get x2+6x>16−x+14+x2
Now, canceling out the x^2, we get
6x>16−x+14
Isolating x, we have
7x>30x>30/7
Thus, in interval notation, we have
(30/7,∞)
Thanks! :)
