S1 = {9, 5, 2, 4, 0, 6, 1, 4, 6}

S2 = {2, 4, 1, 5, 7, 0, 6, 3, 0}

1. Are the following true or false? Explain. 1.1. For any element in S1, there is a smaller element in S2. 1.2. For any element in S, there is a bigger element in S2. 1.3. There is an element in S1 that is smaller than any element in S2. 1.4. There is an element in S2 that is bigger than any element in S1. 2. Write each one of the above as propositional functions using appropriate quantifiers. 3. Determine the following: 3.1. S1S2 3.2. S1S2 3.3. S1 \S2