Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation.
x^2 - 12x + 36 < 0
Use the inequality in the form f(x) < 0 to write the open intervals determined by the boundary points as they appear from left to right on a number line. Choose the sign that describes the function values of f(x) for each of these intervals.
[
egin{array}{|c|c|}
hline
ext{Interval} & ext{Sign} \
hline
(-infty, 6) & + \
hline
(6, infty) & - \
hline
end{array}
]