is S1 true for every r as asked in the question?

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Let ‘r’ be a regular expression, then which of the following statements is/are TRUE for every 'r'?

S1: There exists 'x' which satisfies property r + x = x.

S2: There exists 'x' which satisfies property r.x = x

S1: There exists 'x' which satisfies property r + x = x.

S2: There exists 'x' which satisfies property r.x = x

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