Write a logical statement that says ”b is not an upper bound of S”using quantifier(s) and ≥, but do not use the negation symbol
Question
Write a logical statement that says ”b is not an upper bound of S”using quantifier(s) and ≥, but do not use the negation symbol
Solution
A logical statement that says "b is not an upper bound of S" using quantifiers and ≥, but without using the negation symbol, can be written as:
∃x ∈ S such that x > b
This statement reads as "There exists an element x in the set S such that x is greater than b". This implies that b is not an upper bound of S, because there is at least one element in S that is greater than b.
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