Hey, it's Claire so enumerate here. So we're gonna translate the statements into three different ways. So for party, it says a student in your class has lived in Vietnam. So we're gonna let a F X means excess in your school and p f X means excess lived in Vietnam and p of x comma. Y means X has lived and why? So we're gonna let the first I mean be the people in your school in the second domain be all the people in the world. So three ways to write it is using the existential quantification of p of x, the axe essential quantification f x and P f x on the existential quantification Can't square so enumerate here. So we're gonna translate these statements into three different ways. So for party, it says, a student in your class has lived in Vietnam. So we're gonna let a F X means excess in your school and p of X means excess lived in Vietnam NP FX and P of X comma Vietnam. I'll just put via for sure short he of X comma y means X has lived and why? So we're gonna let the first domain be the people in your school in the second domain, be all the people in the world. So three ways to write it is using the existential quantification of P of X, the axe essential quantification f x and P f x on the existential quantification For part B, we have there is a student in your school who cannot speak. Indeed. So we're gonna let be of xB X is in your class que of x means that ex btk Lindy. Thank you. Have X comma y means x weeks. Why? So let's let the first domain be the people in your class in the second domain be all the people in the world. So we're gonna use existential quantification, not Q of X, which means that ex speaks Hindi existential quantification be of X. That means that X is in your class and not speak. That's effects and p of X comma Vietnam. I'll just put via for sure, short for part B. We have There is a student in your school who cannot speak. Indeed. So we're gonna let be of X B access in your class, que of x means that ex btk Lindy. Thank you have X comma y in the instinctual quantification P of X and not a queue of X comma didn t for Parton's X weeks. Why? So let's let the first domain be the people in your class in the second domain be all the people in the world. So we're gonna use the existential quantification, not Q of X, which means that ex speaks Hindi existential quantification be of X. That means that X is in your class and not speak. That's a C. We have a student in your school, knows Jabba Prologue and C plus plus. So we're gonna make a of ex mean exes in your school s of ex mean ex knows Java tea of X means ass nose prologue and you have X means x no c plus plus unless make s of X comma. Y mean ex knows why. So let's let the first domain be the people in your school and the second domain be all the people in the world. So one way we could write it is using the substantial quantification mass of X and he of X. You have X Henschel quantification p of X and not a queue of X comma didn t for a part. See, we have a student in your school knows Jabba Prologue and C plus plus So we're gonna make a of ex mean exes in your school s of ex mean x. Another way is a f x using the existential quantification e f x means X is in your school and SFX and t a X and you have x on another reader. It it iss using any of bucks and s of X comma knows Java tea of X means ass nose prologue and you have X means x no c plus plus unless make s of X comma. Y mean ex knows why. So let's let the first domain be the people in your school and the second domain be all the people in the world. So one way we could write it is using the substantial quantification mass of X and he of X. Then you have X Java and s of X comma pro law and s uh, X comma c++ Another way is a f x using the existential quantification e f x means X is in your school. And as of x and t a X and you have X on another reader. It it iss using E of X and s of ex common for a party we have. Everyone in your class enjoys Thai food, so we're gonna let the first domain be the people in your class and the second domain be all the people in the world. So a of X means excess in your class v of X means X enjoys Thai food and V of X comma wines. Ex enjoys Why so this is the universal quantification which is unlike the other previous examples that we did P of X, the universal quantification and java and s of X comma pro law and s uh, X comma c++ for a party. We have everyone in your class in jokes. Is this if then we have X, which means that ex enjoys Thai food, the universal quantification of a of X, then the, uh, X comma Thai food. Then we have always Thai food, so we're gonna let the first domain be the people in your class and the second domain be all the people in the world. So a f X means excess in your class V of X means X enjoys Thai food and V of X comma linings. Ex enjoys. Why? So this is the universal quantification which is unlike the other previous examples that we did p of x, the universal quantification. You have a key, which means that someone in your class does not play hockey. So the day of X B exits in your class w of X means x plays hockey and w of x comma y means x, please. Why? So we're gonna let the first timing be the people in your class and the second domain be all the people in the world. So I'm gonna use the existential quantification, not w of x e m x, and not dumb. You have X Is this if then we have X, which means that ex enjoys Thai food, the universal quantification of a of X then the, uh X comma Thai food. Then we have E, which means that someone in your class does not play hockey. Finally, we have that substantial quantification am ex, not end, not W of X comma hockey