Question

20 POINTS HELP ASAP!! GEOMETRY!!

Answer 1

ANSWER:

[i] “p therefore q.”

[ii] “p if and only if q.”

[iii] “p and q.”

[iv] “p or q.”

[v] “p and not q.”

[vi] “if q then not p.”

[vii] “if not p then q.”

Answer 2

Answer:

See below:

Step-by-step explanation:

$p \: \therefore \: q \implies \: p \: therefore \: q \\ \\ p \: \iff \: q \implies \: p \: if \: and \: only \: if \: q \\ \\ p \: \land \: q \implies \: p \: and \: q \\ \\ p \: \lor \: q \implies \: p \: or \: q \\ \\ p \: \land \: \sim \: q \implies \: p \: and \: not \: q \\ \\ q \: \implies \: \sim \: p \implies \: if \: q \: then \: not \: p \\ \\ \sim \: p \implies \: q \implies \: if \: not \: p \: then \: q$