Solve the Inequality $|2(x-2)| \geq 1$ Algebraically

question 46

Essay

Solve the inequality $|2(x-2)| \geq 1$ algebraically. Write the solution in interval notation and draw its number line graph.

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Definitions:

Systematic Desensitization

A behavioral therapy technique used to help individuals overcome phobias and anxieties by gradual exposure to the fear source while practicing relaxation techniques.

Cognitive Therapy

A form of psychotherapy focused on identifying and correcting negative thought patterns to improve emotional well-being and behavior.

Dissociative Identity Disorder

Dissociative Identity Disorder is a psychological condition characterized by the presence of two or more distinct personality states or identities within a single individual, previously known as multiple personality disorder.

Systematic Desensitization

A therapeutic technique aimed at reducing fear or anxiety through gradual exposure to the feared object or situation in a controlled way.