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Chapter 1: Q66. (page 36)

Explain why an open sentence always has at least one variable.

Short Answer

Expert verified

The reason is that an open sentence is a statement that contains at least one unknown quantity and it becomes either true or false.

Step by step solution

01

Step 1. Definition.

Open sentence: If a statement contains at least one unknown quantity and that becomes either true or false when a quantity is substituted for the unknown, then it is called an open sentence.

02

Step 2. What to find?

We have to find the reason why an open sentence always has at least one variable.

03

Step 3. Reasoning.

The reason why an open sentence always has at least one variable is: that an open sentence is a statement that contains at least one unknown quantity and it becomes either true or false.

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