Using Only the Five Properties Associative Laws, Commutative Laws, Distributive $x + x = x$

question 13

Essay

Using only the five properties associative laws, commutative laws, distributive laws, identity laws, and complement laws, prove that $x + x = x$ is true in all Boolean algebras.

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Definitions:

Self-talk Benefits

Positive effects arising from the practice of intentionally generating affirmative inner dialogue, such as improved mood, reduced stress, and enhanced performance.

Self-image

The mental portrayal, concept, or image an individual holds about themselves.

Self-esteem Source

The origin or factors that contribute to an individual's perception of their own worth or value.

External Locus

The belief that one's fate or outcomes in life are determined by external forces or luck rather than one's own actions.