3. (10 points) Suppose x is melement of {2,3,4} and y is an element of {5,6}. Consider the following fonetions: P(x):2x8 write each of the following proposidions using disjunctions (V), conjunctions (N), and negations ( ). Then eraluate if each statement is True or False. a) xP(x) b) Vx(P(x)) c) xyQ(x,y) d) xyQ(x,y) 4- (8 points) consider th following predirates: (x):x is a student I(x):x is intelligent M(x):x likes music Assuming the dommin consists of all people, write logical expressions for the following sentences: (a) all students are intelligent (b) Some intelligent students like music (a) Everyore who likes music is not an intelligent student. (d) Only intelligent students like music