State whether the following sentence is a statement. Justify your answer. In case it is a statement, state its

Exercise 1.1 · Q7

x^2 = x

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" $x^2=x$ " contains the free variable $x$ .

For $x=0$ or $x=1$ the equation holds (true), but for, say, $x=2$ , $2^2=4\neq2$ (false). Because the truth value is not fixed, this is an open sentence, not a statement. …

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Q.State whether the following sentence is a statement. Justify your answer. In case it is a statement, state its truth value: $x^2 = x$ .

Concept understanding — Statement and Truth Value

Q.State whether the following sentence is a statement. Justify your answer. In case it is a statement, state its truth value: x2=xx^2 = xx2=x.

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Q.State whether the following sentence is a statement. Justify your answer. In case it is a statement, state its truth value: $x^2 = x$ .

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