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Show that the following statement pattern is contingency. (p → q) ∧ (p → r)

EXERCISE 1.6Q 5.4   PAGE 16
Exercise 1.6 | Q 5.4 | Page 16

Show that the following statement pattern is contingency.

(p → q) ∧ (p → r)


SOLUTION

pqrp→qp→r(p→q)∧(p→r)
TTTTTT
TTFTFF
TFTFTF
TFFFFF
FTTTTT
FTFTTT
FFTTTT
FFFTTT

The truth values in the last column are not identical. Hence, it is contingency.