Week 0:
The set of words containing the letter A: NEITHER
The set of all words composed only of letters (with possible repeats) from ETAOIN SHRDLU: ONE
The set of all words containing at least one of "R", "S", "T", "L", "N" or "E": BOTH
Week 1:
[Jason Boomer] The set of all words containing at least 3 consecutive letters that are consonants (i.e. not AEIOUY): NEITHER
[Kenneth Wilson] The set of all words beginning with a letter in the word SOUND: NEITHER
[Kevin Orfield] The set of words where three or more of the letters are from the set {A,E,I,O,U,Y}: NEITHER
[Michael Tang] The set of words of length 5, 6, 7, or 8: ONE
[Sam Levitin] The set of all words of length greater than or equal to 9: NEITHER
Week 2:
[Daniel Levitin] The set of all words of lengths 5 or 6: ONE
[Jason Boomer] The set of all words containing a double letter (examples: EGG, BOOT, LLAMA; counterexamples: FIFE, NANA): NEITHER
[John Bulten] The set of all words with second letter between O and Z inclusive: ONE
[Kenneth Wilson] The set of all words comprised entirely of letters (with possible repeats) in the words DHOLE UNITS: ONE
[Kevin Orfield] The set of all words beginning with a letter between Q and Z inclusive: NEITHER
[Sam Levitin] The set of all words of length 6 or 7: ONE
Week 3:
[Daniel Levitin] The set of all words at least 5 letters long, beginning with letters B-H inclusive: NEITHER
[Jason Boomer] The set of all words whose letters have a combined point value of 15 or higher in English-language Scrabble (examples: JOKE, ZZZ): NEITHER
[John Bulten] The set of all words ending with a letter from BENDY TRACK: NEITHER
[Kenneth Wilson] The set of all words that contain an S adjacent to another consonant (any letter other than A, E, I, O, U, or Y): ONE
[Kevin Orfield] The set of all words beginning with a letter between A and G inclusive: NEITHER
[Sam Levitin] The set of all words where exactly two of the letters are A, E, I, O, U, or Y: BOTH
Week 4:
[Daniel Levitin] The set of all words where the second letter is anything other than A, E, I, O, U, or Y: NEITHER
[Jason Boomer] The set of all 1-syllable words, according to HowManySyllables.com: ONE
[John Bulten] [private guess of a set of 2 words]: NEITHER
[Kenneth Wilson] The set of all words that contain at least one instance of the letter S: BOTH
[Kevin Orfield] The set of all words in which the same letter appears more than once: NEITHER
[Sam Levitin] [private guess of a set of 3 words]: NEITHER
Week 5:
[Daniel Levitin] The set of all words in which exactly one of the letters is not in ETAOIN SHRDLU (examples: TREK, TREKS; counterexample: TREKKED): ONE
[Jason Boomer] The set of all words which start with L: NEITHER
[Kenneth Wilson] The set of all words comprised entirely of letters from the words NUDE SLOTH: ONE
[Kevin Orfield] The set of all words which contain the letter L: NEITHER
[Sam Levitin] [private guess of a set of 4 words]: NEITHER
Week 6:
[Daniel Levitin] [private guess of a set of 1 word]: ONE
[Jason Boomer] [private guess of a set of 5 words]: ONE
[Ken G. Safrit] The set of all words composed only of letters from HORSEMINT and which include the letter N or the letter O, but not both: BOTH
[Kenneth Wilson] The set of all words containing the letter O: ONE
[Kevin Orfield] The set of all words which have at least one Scrabble-legal anagram according to scrabble.merriam.com: ONE
[Roger Strain] The set of words where the second letter is contained in FOXGER: ONE
[Sam Levitin] The set of all 6-letter words matching the pattern "CVCVCC", where "V" means {A,E,I,O,U,Y}, and "C" means the other 20 letters: ONE
[yyw] [private guess of a set of 2 words]: BOTH
Since the pair of words has been guessed, $30 has been donated to the Food Bank of West Central Texas and $30 has been donated to My Block My Hood My City!
Everyone now has one more week to guess the pair of words and get entered into the prize drawing!