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How do you solve the inequality (x + 1)(x - 6) < 0, and express the solution using interval notation.

If an object is shot upward with an initial velocity of 240 feet per second so that its height s (in feet) above the ground after t seconds is given by s = -16t2 + 240t. For what values of t will the object be at least 416 feet above the ground?

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