Name (printed):Student ID #:Section # (or TA’s:name and time)CMSC 250 Quiz #3 Wednesday, Sept. 14, 20051. [6 pnts.] For each of the following identify the rule being applied or tell that it is not one of thoserules listed in y our textbook and on the “cheat sheet”.a.I like carrots or peas.I don’t like carrots.I don’t like peas.b.I will sleep well only if I eat dinner.I did eat dinner.I will sleep well.Prove each of the following arguments using only the rules from Chapter 1 (of your textbook - thesame as the sheet handed out during the lab section). You may not use the textbook or sheet whiletaking the quiz - you will not be penalized for not knowing the exact name of the rules (get as close aspossible). Make sure you are using only those rules. For each line, make sure you tell the statementkno wn to be true, the rule used to get that statement, and the line numbers to whic h the rule wasapplied to get that statement.2. [8 pnts.]P1p ∧ qP2(p ∧ r) → sP3q → rtherefore s#Statement Rule Lines Used1234567↓ TURN OVER ↓3. [8 pnts.]P1∼ p ∨ qP2r → sP3s → qP4p ∨ rtherefore q#Statement Rule Lines Used12345674. [8 pnts.]P1p ∨ rP2∼ p ∧ stherefore r ∧ s#Statement Rule Lines
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