The Law of Trichotomy – Polynomials in General Part I

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My primary recommendation is that we always simultaneously consider an equation and its two inequality siblings as a group and that we graph all three on the same number line. Law of Trichotomy Applied to Polynomial Inequalities in One Variable: Rule: The procedures demonstrated in Example 1 and Example 2 (of previous two posts) may

The Law of Trichotomy Applied to Quadratics in One Variable

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My primary recommendation is that we always simultaneously consider an equation and its two inequality siblings as a group and that we graph all three on the same number line. Example 2: Suppose it is required to solve the inequality x2 + x – 6 < 0. Discussion and Solution: When considering the inequality x2