Determine the System of Inequalities Illustrated in the Graph $x ^ { 2 } + y ^ { 2 } \leq 16$

question 399

Multiple Choice

Determine the system of inequalities illustrated in the graph. Write inequalities in standard form.
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• A) \(x ^ { 2 } + y ^ { 2 } \leq 16\) \(x \leq 0\)
• B) \(x ^ { 2 } + y ^ { 2 } \geq 16\) \(x \geq 0\)
• C) \(x ^ { 2 } + y ^ { 2 } \leq 16\) \(\mathrm { y } \geq 0\)
• D) \(x ^ { 2 } + y ^ { 2 } \leq 16\) \(x \geq 0\)

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Definitions:

Displacement

in psychology, is a defense mechanism where a person redirects a negative emotion from its original source to a less threatening recipient.

Defense Mechanism

A psychological strategy unconsciously used by individuals to protect themselves from anxiety or to avoid facing uncomfortable truths.

Projection

A defense mechanism where individuals attribute their own unacceptable thoughts, feelings, or motives to another person.

Life Instincts

In psychoanalysis, these are the drives or instincts that are directed towards preservation and enhancement of life, including basic needs such as hunger and sex.