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:

Decompression Melting

A geologic process where melting occurs due to a decrease in pressure as rock rises closer to the surface, without a change in temperature.

Subducting Plate

The tectonic plate that is being pushed downward into the mantle beneath another plate at a convergent boundary.

Igneous Rocks

Rocks formed by the cooling and solidification of magma or lava.

Columnar Joints

Distinctive fracture-bounded columns of rock formed when hot but solid igneous rock contracts as it cools.