In the previous post, we have learned about propositions. We learned that propositions are statements that are either true or false but not both. In this post, we are going to combine two or more propositions using words such as and, or, and if and then. Two or more propositions combined are called compound propositions […]

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# College and Beyond

## The Sum and Product of Roots Theorem

From the quadratic formula, we know that the numbers and are the roots of the quadratic equation where if and only if and .

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## Triangle Inequality and Its Proof

Triangle Inequality states that for any real numbers a and b, |a| + |b| ≥ |a + b|. In proving this theorem, we use the definition of absolute value of a number. The absolute value of a number is x if x > 0 (*), –x if x < 0 (**) and 0 if x = […]

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