Give a Reason for Each Step in the Proof That $$x = x + 0 = x + ( x \bar { x } ) = ( x + x ) ( x + \bar { x } ) = ( x + x ) \cdot 1 = 1 \cdot ( x + x ) = x + x$$

question 36

Short Answer

Give a reason for each step in the proof that x + x = x is true in Boolean algebras. Your reasons should
come from the following: associative laws for addition and multiplication, commutative laws for addition
and multiplication, distributive law for multiplication over addition and distributive law for addition over
multiplication, identity laws, unit property, and zero property. $$x = x + 0 = x + ( x \bar { x } ) = ( x + x ) ( x + \bar { x } ) = ( x + x ) \cdot 1 = 1 \cdot ( x + x ) = x + x$$

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Definitions:

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A branch of treatment that involves medication and medical procedures to treat psychological disorders, based on the principle that mental illnesses are often rooted in biological factors.

Anxiety Disorder

A psychiatric condition characterized by excessive worry, fear, or anxiety that interferes with daily activities.

Biomedical Treatment

Treatments that involve physiological interventions (such as medication, surgery, or other medical procedures) to treat mental disorders.

Drug Therapy

The treatment of diseases and disorders through the administration of drugs and medications.