Give a Proof by Cases That $$x \leq | x |$$

question 14

Short Answer

Give a proof by cases that $$x \leq | x |$$ for all real numbers x.

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Definitions:

Magnetic Metals

Metals that are capable of being attracted by a magnet or can be magnetized, such as iron, nickel, and cobalt.

Magnetized

The state of an object when its electrons are aligned in such a way that it produces its own magnetic field.

Material's Ability

The inherent properties and characteristics of a material that determine its suitability for specific applications or performances.

Permeability

A measurement of a material’s ability to conduct magnetic lines of flux. The standard is air, which has a permeability of 1.