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Logic and Proof

Logic and Proof

The Quality of Equality Examples

Example 1

Identify the property exemplified here. Turkey Sandwich = Turkey Sandwich.

Example 2

We're given that A = B and C = D. As a result, we state that AC = BD. This equation is an example of which property or properties?

Example 3

If A = X, B = Y, and C = Z, then can we say that A(B + C) = Z × Y + X × Z?

Example 4

If A + B = C, then is it possible to claim that X(A + B) = C × X? Which properties allow us or forbid us from doing so?