i need help!!!!! Please in my assignment the due date is today

Subject Discrete Mathematics for Computing.

1. Choose the correct answer 1) Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express the following set in terms of A and B : "the set of students at your school who either are not sophomores or are not taking discrete mathematics" a. AeBe b. AcUBc c. B-A d. A-B 2) Let A be the set of students who live within one mile of school and let B be the set of students who walk to classes. Describe the set B-A. a. The set of students who walk to classes but live more than I mile away from school. b. The set of students who walk to classes but live within 1 mile away from school. c. The set of students who walk to classes. 3) {x:x is a real number between 1 and 2} is an a. finite set b. empty set c. infinite set 4) Find the sets A and B if AB={1,5,7,8},BA={2,10}, and AB={3,6,9}. a. A={1,5,7,8} and B={2,10} b. A={1,5,7,8,9,6,3} and B={2,10} c. A={1,5,7,8,9,6,3} and B={2,10,3,6,9} d. A={1,5,7,8,2,10} and B={2,10,3,6,9} 2. Write the set {xxR,x2=4 or x2=9} in list form. 3. Write set {1,5,15,25,} in set-builder form. 4. What is the cardinality of each of these sets? a) {{a}} b) {a,{a}} c) {a,{a},{a,{a}}} d) {0} e) {0,{0},{0,{0}}} 5. What is the power set of the set {1,a,b}? 6. Let S={,a,(a)} Determine whether each of these is an element of S, a subset of S, neither, or both. a) {a} b) {{a}} c) 6 d) {{},a}} 7. Detemmine whether each of these statements is true or false. a) 0 b) {0} c) {0} d) {0} e) {0}{0} f) {0}{0} g) {}{} 8. Let A={a,b,c},B={x,y}, and C={0,1}. Find ABC. 9. Find A2 if A={0,3,3} - 10. Show that ABCA. 11. Show using membership table that (AB)(AB5)=A. 12. Show using set identities' laws that (AB)(AB5)=A. 13. Find the truth set of the following predicate where the domain is the set of integers. R(x):2x+1=0 14. Let A={0,2,4,6,8,10},B={0,1,2,3,4,5,6}, and C={4,5,6,7,8,9,10}. Find a) (AB)C b) (AB)C c) BA 15. Find 1nAi and 1nAi if Ai={,2,1,0,1,,i}. 16. Find U1Ai and 1Ai if Ai={0,i}. 17. Determine whether f is a function from Z to Z if f(n)=n. 18. Determine whether the function f(n)=n3 from Z to Z is onto (surjective). a) f(x)=2x+1 b) f(x)=x2+1 20. Find the inverse function of f(x)=x3+1. 21. Given the following functions f and g, from R to R, Find f ' g for the following a) f(x)=2x+1,g(x)=x2+4x+4 b) f(x)={(1,3),(2,4),(5,6),(4,8)},g(x)={(1,1),(4,5),(6,2)} 22. Find these values. a) [1.1] b) [0.1] c) 21+[21]] d) [43] e) [43] f) [0.1]