1. suppose p and q are the statements: p: jack passed math. q: jill passed math.(25 points)
(a) translate “jack and jill both passed math” into symbols.
(b) translate “if jack passed math, then jill did not” into symbols.
(c) translate “p ∨ q” into english.
(d) translate “¬(p ∧ q) → q” into english.
(e) suppose you know that if jack passed math, then so did jill. what can you conclude if you know that: i. jill passed math? ii. jill did not pass math?