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RATIONAL AND POLYNOMIAL INEQUALITIES Mr. Velazquez Honors Precalculus

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Page 1: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

RATIONAL AND POLYNOMIAL INEQUALITIES

Mr. Velazquez

Honors Precalculus

Page 2: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

SOLVING POLYNOMIAL INEQUALITIES

Here is an example, referring to the stopping distance of a vehicle.

Page 3: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

SOLVING POLYNOMIAL INEQUALITIES

Page 4: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

SOLVING POLYNOMIAL INEQUALITIES

Page 5: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

SOLVING POLYNOMIAL INEQUALITIES

Page 6: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

SOLVING POLYNOMIAL INEQUALITIES

Page 7: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

SOLVING POLYNOMIAL INEQUALITIES

Page 8: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

Example:

Solve and graph the solution set of 𝒙𝟐 + 𝟐𝒙 − 𝟔 ≥ 𝟐

Page 9: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

SOLVING RATIONAL INEQUALITIES

An example of a rational inequality

Page 10: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

SOLVING RATIONAL INEQUALITIES

Page 11: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

SOLVING RATIONAL INEQUALITIES

Page 12: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

SOLVING RATIONAL INEQUALITIES

Page 13: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

SOLVING RATIONAL INEQUALITIES

Page 14: Rational and Polynomial Inequalities...Procedure for Solving Polynomial Inequalities 1. Express the inequality in the form f (x) < O or f(x) > 0, where f is a polynomial function.

CLASSWORK & HOMEWORK

Homework:

Polynomials HW 4

(Math XL)

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