In this problem, you will follow the parts below to solve an inequality involving h(x) = 6x² - 24x - 11.
(a) Find the zeroes of h(x). Enter your answers separated by commas.
x =
(b) Find the discontinuity of h(x).
x =
(c) Determine the sign of h(x) on each subinterval of the real number line where x1, x2, and x3 correspond to the x values found in parts (a) and (b) ordered from smallest to largest.
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x1 x2 x3
(C) Use the signs in part (c) to solve h(x) > 0. Give your answer in interval notation.
