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## Homework Statement

I have a function h(t) = 30t - 5t^2.

I need to find the interval for which h is > 25.

## Homework Equations

## The Attempt at a Solution

h(t) = 30t - 5t

^{2}- 25 > 0

-5(t

^{2}- 6t + 5) > 0

iff t

^{2}- 6t + 5 > 0

Then the answer is t > 5 and t < 1.

But it is actually between those points.

Is it because I factored out a negative?