What is an open sentence ? Definition and examples.

In math, an open sentence, also called open statement, is a sentence that is neither true nor false. Basically, just looking at the sentence, you cannot tell if it is true or false.

For example, 1 - x  = 8 is an open sentence. The reason 1 - x = 8 is an open sentence is because we do not know the value of x just yet and as a result we cannot tell if it is true or false.

This uncertainty that we have about 1 - x = 8 is what makes 1 - x = 8 an open statement.

More examples of open sentences

4x = 20

6x - 4 = 32

31 - n = 27

40 ÷ n = 5

e2x = 4

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