Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set...

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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
The solution set is (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
The solution set is the empty set.
Choose the correct graph below

SnapAndSolve AI · Accepted Answer

The inequality given is:x^2 - 12x + 36 < 0First, factor the quadratic expression:(x - 6)^2 < 0The expression (x - 6)^2 is always non-negative (≥ 0) because it is a square of a real number. Therefore, it can never be less than zero. Thus, the solution set is the empty set.Solution set: ∅The correct graph is the one that represents the empty set, which is:B

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Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set...

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