1. Build a model with exactly three individuals where the following are all true:
   • \[\exists x\,\con{student}x\]
   • \[\exists x\,\con{linguist}x\]
   • \[\neg\forall x\,\con{student}x\]
   • \[\exists x(\con{student}x\wedge \con{linguist}x)\]
   • \[\exists x\exists y\, \con{admire}(x,y)\]
2. Build a model where the following set is inconsistent, and explain why:
   • \[\forall x(\con{student}x\rightarrow \con{read}(x,b))\]
   • \[\exists x\,\con{student}x\]
   • \[\forall x\,\neg \con{read}(x,b)\]
3. Build a model where these are all true:
   • Every student admires some linguist.
   • No linguist admires Anna.
   • Anna admires Ben.