Also, don't abuse the equality sign: "A and B = T" is not kosher!
b.
| A | B | C | (A and B) | (A and B) or C |
| T | F | T | F | T |
d.
| A | B | C | (B' and C) | (B' and C)' | A' or (B' and C)' |
| T | F | T | T | F | F |
b. B' or (A -> C)
Translation: Either violets are not blue, or if roses are red then sugar is sweet.
(Note: Some people used
Either violets are not blue, or roses are red only if sugar is sweet.
The comma here is crucial! Otherwise, the "or" is implemented before the "only if".)
c. (C and A') <-> B
Translation: Sugar is sweet and roses are not red if and only if violets are blue.
(Note: by order of precedence, we know that the "and" gets implemented before the "if and only if".)