Math Problem Statement

Solve inequalitis and graph it

Solve and graph the inequalities: 1. x^3 - 2x^2 - 5x + 6 <= 0; 2. |x - 3| <= 5; 3. 0 < |x - 3| <= 5

Solution

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Math Problem Analysis

Mathematical Concepts

Polynomial Inequalities
Absolute Value Inequalities

Formulas

Factoring Cubic Equations
Absolute Value Inequality |x - a| <= b
Sign Analysis for Polynomial Intervals

Theorems

Zero Product Property
Absolute Value Properties

Suitable Grade Level

Grades 9-12

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