Use Mathematical Induction to Show That $n$ Lines in the Plane Passing Through the Same Point Divide

question 8

Essay

Use mathematical induction to show that $n$ lines in the plane passing through the same point divide the plane into $2 n$ parts.

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Definitions:

Surface Water

All bodies of water found on the Earth's surface, such as rivers, lakes, wetlands, and oceans, as opposed to groundwater.

Condenses

The process by which a substance changes from a gaseous state to a liquid state.

Low-pressure Cells

Areas in the Earth's atmosphere where the air pressure is lower than that of the surrounding regions, often associated with wet weather conditions.

Predominant Natural Vegetation

The most common type of wild plants growing in a particular region without human intervention.