Question: I need help with these two problems in Discrete Math please and please answer these in LaTeX. 219 section* {Problem 3} 220 221 The domain

I need help with these two problems in Discrete Math please and please answer these in LaTeX.

I need help with these two problems in DiscreteI need help with these two problems in Discrete
219 \\section* {Problem 3} 220 221 The domain of {\\bf discourse} for this problem is a group of three people who are working on a project. To make notation easier, the people are numbered $1, \\; 2, \\; 3$. The predicate $M(x, \\; y) $ indicates whether x has sent an email to $y$, so $M(2, \\; 3) $ is read `Person $2$ has sent an email to person $3$. '' The table below shows the value of the predicate $M(x, \\;y)$ for each $ (x, \\;y)$ pair. The truth value in row $x$ and column $y$ gives the truth value for $M(x, \\;y) $. I\\\\\\ 222 \\[ 223- \\begin{array}{| |c| |c|clc| |} 224 \\hline\\hline 225 M & 1 & 2& 3\\\\ 226 \\hline\\hline 227 1 & T & T & TIN 228 \\hline 229 2 & T & F & TIL 230 \\hline 231 3 & T & T & FI\\ 232 \\hline\\hline 233 \\end{array} 234 VIIII 235 {\\bf Determine if the quantified statement is true or false. Justify your answer.}\\\\ 236 237 . \\begin{enumerate} [label= (\\alph*) ] 238 239 \\item $\\forall x \\, \\forall y \\left (x\ ot= y) \\; \\to \\; M(x, \\;y) \ ight)$\\\\\\\\ 240 %%Enter your answer below this comment line. 241 III1 242 243 \\item $ \\forall x \\, \\exists y \\; \\; \ eg M(x, \\;y) $1Ill 244 %%Enter your answer below this comment line. 245 1111 246 \\item $\\exists x \\, \\forall y \\; \\; M(x, \\;y) $1Ill 247 %%Enter your answer below this comment line. 248 III1 249 \\end {enumerate} 250 251 \ ewpage254 255' 256 257 258' 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 \\section*{Problem 4} Translate each of the following English statements into logical expressions. The domain of {\\bf discourse} is the set of all real numbers.\\\\ \\begin{enumerate}[label={\\alph*)] \\item The reciprocal of every positive number less than one is greater than one.\\\\\\\\ %Enter your answer below this comment line. \\\\\\\\ \\item There is no smallest number.\\\\\\\\ %Enter your answer below this comment line. \\\\\\\\ \\item Every number other than 0 has a multiplicative inverse.\\\\\\\\ %Enter your answer below this comment line. \\\\\\\\ \\end{enumerate} \ ewpage % __________________________________________________________________________________________________

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