Advanced Placement (AP)

Calculating truth-values. Determine the truth-value of each truth- functional statement below by using the assigned truth-values for its sentence letters. (Besides giving your T/F verdict for the statement as a whole, please give the truth-values for the literals and all component statements. 1. (If not q then r) and (not p if and only if q) – Let p = T, q = F, and r = F
2. (w and not q) unless (w only if not s) -- Let w = T, q = T, and s = F
3. not H if (not P only if not G)) –Let G=T, P=F, and H=F
Give truth-values to the sentence letters so that statement #1 comes out TRUE, statement #2 comes out FALSE, and statement #3 comes out FALSE.
1. (C and not B)if and only if [(B if C)andA]
2. (not p or not s)only if(not w unless not p)
3. If not G then not [G if(H or not M)]
B=?,C=?,A=?
S=?,W=?,P=?
G=?,H=?,M=?

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