Please help me with these questions for sets and functions. Please provide all answers handwritten. Thank you

\fe Exercise Part 1:IfA={1. 2. 4. 5. 6}. B={1. 2} and C={2. 3}. then, apply the correct symbol to denote the following relationships: L - . cC_A 1_A | E | Part 2: Let A ={1. 2. 3} and B = {3}. Which of the following notations are used correctly? BCc A BeA {3}e A 3eA ) e 3cA \fe Exercise Using the atomic propositions x A and x B, express the following set operations using compound propositions: * xeAu B L 4 NN H XEAC Based on your answers, make some notes on how you can compare set algebra with propositional logic (Boolean algebra). Exercise Apply the laws of set algebra to prove the following: . (An B) \\B = 0 . AU(An B) = AUBO More practice Use the laws of set algebra to show the following set equalities. Verify them using Venn diagrams. 1. (An B)\\B = 0 2. AU(An B) = AUB 3. Exercise: (AUB)\\(An B) = AExercise Determine whether the following functions are injective or not: . f: Z - Z : f(x) = x +1 . f: R - R : f(X) = >\f