Consider the statement All flowers are beautiful Note that this statement does not imply that “For all x, x is a flower and it is beautiful” because the statement states that all flowers are beautiful, not all things. Thus, the correct interpretation is “For all x, if x is a flower then x is beautiful. “ Using the universal quantifier notation, this statement is symbolized as (∀x) (Fx → Bx), where Fx = x is a flower and Bx = x is beautiful. Use this concept to symbolize the statements in Exercises.
All integers are rational numbers.
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