Let P(x) denote the statement “x = x + 7.” What is the truth value of the quantification ∃xP(x), where the domain consists of all real numbers?(a) True(b) FalseI got this question during an online interview.This interesting question is from Predicate Logic Quantifiers in chapter The Foundation: Logics and Proofs of Discrete Mathematics

Let P(x) denote the statement “x = x + 7.” What is the truth value

1.	Let P(x) denote the statement “x = x + 7.” What is the truth value of the quantification ∃xP(x), where the domain consists of all real numbers?(a) True(b) FalseI got this question during an online interview.This interesting question is from Predicate Logic Quantifiers in chapter The Foundation: Logics and Proofs of Discrete Mathematics
Answer» CORRECT choice is (b) False Explanation: Because P(x) is false for EVERY REAL NUMBER x, the existential quantification of Q(x), which is ∃xP(x), is false.

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