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# Polynomial Inequalities

When does revenue exceed cost? When will one race car pass another? Model these values with polynomials and use polynomial inequalities to solve questions like these and more.

Find the range of \(x\) that satisfies the inequality \[x^2-14x+49 \geq 0.\]

What is the quadratic inequality the solution of which is \(x < -4\) or \(x > 6?\)

Which of the following integers does **NOT** satisfy the inequality
\[-3x^2+8x+35 > 0 ?\]

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