3. Suppose that the domain is the set of real numbers. Consider the following predicates. Z(x): "x is an integer" R(x): "x is a rational number" L(x): "x is positive" Express each of the following statements using these predicates, quantifiers, and logical connectives. (a) There is a positive rational number.

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3. Suppose that the domain is the set of real numbers. Consider the following predicates.
Z(x): "x is an integer"
R(x): "x is a rational number"
L(x): "x is positive"
Express each of the following statements using these predicates, quantifiers, and logical
connectives.
(a) There is a positive rational number.
(b) There is a rational number which is not an integer.
(c) Every positive integer is a rational number.
Transcribed Image Text:3. Suppose that the domain is the set of real numbers. Consider the following predicates. Z(x): "x is an integer" R(x): "x is a rational number" L(x): "x is positive" Express each of the following statements using these predicates, quantifiers, and logical connectives. (a) There is a positive rational number. (b) There is a rational number which is not an integer. (c) Every positive integer is a rational number.
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