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Reword the following statement as two statements, one describing the existence and the other describing uniqueness:

A segment has exactly one midpoint.

Short Answer

Expert verified

All segments have a midpoint states the existence and a segment that has only one midpointthat states the uniqueness.

Step by step solution

01

Step 1. Existence and uniqueness.

The property of being the one and only object satisfying a certain condition is referred to as "uniqueness" and "existence" which is a weaker form of uniqueness, refers to the property that an object satisfying a property is "unique" only in the sense that all objects satisfying the property are equivalent to each other.

02

Step 2. State the Existence.

A statement describing Existence is: 鈥淎ll segments have a midpoint.鈥

03

Step 3. State the uniqueness.

A statement describing Uniqueness is: 鈥淎 segment has only one midpoint.鈥

Hence, the answer is 鈥淎ll segments have a midpoint states the existence and a segment has only one midpoint that states the uniqueness.鈥

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