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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Consider universe positive integer $X = {1 \le n \le 8}$, proposition P = "n is an even integers", Q = "$(3 \le n \le 7) \land (n \ne 6)$". Then truth set of $P \leftrightarrow Q$ is
Solution
Universe:
$X = {1,2,3,4,5,6,7,8}$
P is true for even integers:
$P = {2,4,6,8}$
Q is true for:
$Q = {3,4,5,7}$
$P \leftrightarrow Q$ is true when both P and Q have same truth value.
Both true:
$P \cap Q = {4}$
Both false:
Elements not in $P \cup Q = {1}$
Therefore,
Truth set = ${1,4}$
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