General instructions. Answer all questions. Handwrite your answers neatly on paper.

Then scan$/$photograph the page$($s$),$ assemble the photographs into a single pdf file, and send

me the pdf file as an attachment to an email $($email: lehman@redllama.org$).$ If I cannot read

your work, either because you wrote sloppily or because the scan$/$photograph was blurred,

or because it was not submitted as a single pdf file, you will get no credit for it$.$ For truth

tables, be sure that your Ts and Fs line up vertically in a straight column.

Equivalences. Use a truth table or use logical equivalence laws to demonstrate equivalence

or the lack of equivalence for the pair of sentences on each row:

Sentence $1$ Sentence $2$

$1.$R$,$R

$2.($M $->$ V $),($M $$ V $)$

$3.$X$,(($Q $$Q$)$ & $$X$)$