EXERCISES 1. Compute the truth values of the following, given that A, B, and C are true and X, Y, and Z are false. b. ~A~C d. (XvA) ~B f. ~(A v B) (X v Y) h. (A = X) = (B = Y) j. (~X~Y) = (A>~(X + Y))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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EXERCISES
1. Compute the truth values of the following, given that A, B, and C are true and X, Y, and
Z are false.
b. ~A~C
d. (Xv A) ~B
f. ~(Av B) (X v Y)
h. (A=X) = (B = Y)
j. (~X~Y) = (A >~(X • Y))
1. ~((A v B) v C) v (CƆ ~ (X v ~A))
n. ~[((A~B) ~C) ~X]
p. ~~(A ~(B ~(C ~(X VY))))
r. ((XY) v (A•~B)) ((X v A) · (Y v~B))
Transcribed Image Text:EXERCISES 1. Compute the truth values of the following, given that A, B, and C are true and X, Y, and Z are false. b. ~A~C d. (Xv A) ~B f. ~(Av B) (X v Y) h. (A=X) = (B = Y) j. (~X~Y) = (A >~(X • Y)) 1. ~((A v B) v C) v (CƆ ~ (X v ~A)) n. ~[((A~B) ~C) ~X] p. ~~(A ~(B ~(C ~(X VY)))) r. ((XY) v (A•~B)) ((X v A) · (Y v~B))
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