Determine the truth-value of the following statements if A, B, and C are true; and X, Y, Z false. CHOOSE ONLY FROM THE FOLLOWING: TRUE, FALSE, INDETERMINATE Example: ~AV B = TRUE a)~BVX b) ~Z VX c) (B.C) V (Y.Z) d) ~(C.Y) V (A · Z) e) ~(X·~Y) V (B.~C) f) (AVX). (Y V B) g) (BVC) (Y V Z) h) (XVY) (X V Z) i) ~(X V Z) · (~X V Z) j) ~(AVC) V ~(X · ~Y) k) ~(B V Z) · ~(XV ~Y) 1) ~[(A B) V~(B.A)] m) [A V (B V C)] · ~[(A v B) v C)] n) [A · (B V C)] · ~[(A · B) V (A · C)] o) ~{~[(B · ~C) v (Y · ~Z)] · [(~B v X) v (B v ~Y)]}

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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TRUE, FALSE, INDETERMINATE

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Determine the truth-value of the following statements if A, B, and C are true;
and X, Y, Z false.
CHOOSE ONLY FROM THE FOLLOWING: TRUE, FALSE, INDETERMINATE
Example: ~AVB = TRUE
a) ~BVX
b) ~Z V X
c) (B.C) V (Y.Z)
d)~(C.Y) V (A - Z)
e) ~ (X · ~Y) V (B · ~C)
f) (AVX). (Y V B)
g) (BVC) (Y V Z)
h) (XVY) (X V Z)
i) ~(XVZ)· (~X V Z)
j) ~(AVC) V ~(X· ~Y)
k) ~(B V Z) · ~(XV ~Y)
1) ~[(A·B) V ~(B.A)]
m)
[AV (B V C)] ~[(A V B) V C)]
n) [A. (Bv C)] ~[(A · B) V (A · C)]
o) ~{~[(B · ~C) v (Y · ~Z)] · [(~B v X) v (B v ~Y)]}
Transcribed Image Text:Determine the truth-value of the following statements if A, B, and C are true; and X, Y, Z false. CHOOSE ONLY FROM THE FOLLOWING: TRUE, FALSE, INDETERMINATE Example: ~AVB = TRUE a) ~BVX b) ~Z V X c) (B.C) V (Y.Z) d)~(C.Y) V (A - Z) e) ~ (X · ~Y) V (B · ~C) f) (AVX). (Y V B) g) (BVC) (Y V Z) h) (XVY) (X V Z) i) ~(XVZ)· (~X V Z) j) ~(AVC) V ~(X· ~Y) k) ~(B V Z) · ~(XV ~Y) 1) ~[(A·B) V ~(B.A)] m) [AV (B V C)] ~[(A V B) V C)] n) [A. (Bv C)] ~[(A · B) V (A · C)] o) ~{~[(B · ~C) v (Y · ~Z)] · [(~B v X) v (B v ~Y)]}
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