SOLUTION: f is define as follows: f(x)=x(x+1) solve the inequality f(x) >6

Question 1087116: f is define as follows: f(x)=x(x+1) solve the inequality f(x) >6
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!

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Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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x*(x+1) > 6 is equivalent to > 6 is equivalent to > 0 is equivalent to (x+3)*(x-2) > 0. The last inequality has two sets of solutions: 1) x < -3, and 2) x > 2. In the interval form: (,-3) U (2,).

Solved.

Illustration:

Plot y = x*(x+1) (red line) and y = 6 (green line)

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The solution by @josgarithmetic is WRONG. For your safety, ignore it !

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