A. Let p and q be propositions
p: 4 is an even integer
q: 5 is an odd integer
Write each of the following sentences in terms of p, q and logical connectives:
______________1. 4 is an even integer and 5 is an odd integer.
______________2. 4 is not an even integer or 5 is an odd integer.
______________3. If 4 is an even integer then 5 is an odd integer.
______________4. 4 is an even integer whenever 5 is an odd integer.
______________5. 4 is not an even integer if an only if 5 is not an odd integer.
______________1. 4 is an even integer and 5 is an odd integer: "p \\wedge q"
______________2. 4 is not an even integer or 5 is an odd integer: "\\neg p \\vee q"
______________3. If 4 is an even integer then 5 is an odd integer: "p \\to q"
______________4. 4 is an even integer whenever 5 is an odd integer: "q \\to p"
______________5. 4 is not an even integer if an only if 5 is not an odd integer: "\\neg p \\leftrightarrow \\neg q"
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