Let R be the domain of the predicate variables a, b, c, and d. Which of the following
Chapter 3, Problem 33(choose chapter or problem)
Let R be the domain of the predicate variables a, b, c, and d. Which of the following are true and which are false? Give counterexamples for the statements that are false.
a. a > 0 and \(b>0 \Rightarrow a b>0\)
b. a < 0 and \(b<0 \Rightarrow a b<0\)
c. \(a b=0 \Rightarrow a=0\) or b = 0
d. a < b and \(c<d \Rightarrow a c<b d\)
Text Transcription:
b>0 Rightarrow a b>0
b<0 Rightarrow a b<0
a b=0 Rightarrow a=0
c<d Rightarrow a c<bd
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