Answer
The claim is “∀x, if x = 1 and x is in the sequence 0204,
then x is to the left of all the 0’s in the sequence.” The negation is “∃x such that x = 1 and x is in the sequence 0204, and x is not to the left of all the 0’s in the sequence.” The negation is false because the sequence does not contain the character 1. So the claim is vacuously true (or true by
default).
Work Step by Step
A statement of the form $\forall x \in D$, if P(x) then Q(x) is called vacuously true or true by default if, and only if, P(x) is false for every x in D.
