Question

Let U ={a, b, c, d, e, f, g, h, i, j, k}. Let A={d, f, g, h, i, k}. Let B={a, d, f, g, h}. Let C={a, c, f. i, k} Determine (AUC) U ( AB). Choose the correct answer below and, if necessary, fill in the answer box in your choice. OA. (AUC) U(ANB)= } (Use a comma to separate answers as needed.) OB. (A'UC) U (ANB) is the empty set. LE

Answer 1

Datei *). 1). Horul, U=faib, c, d, e, f, g, h, i, j, ke Aad d, f, g, h, i, k4 ва | a. f, o, 3, 4, e-da, c, f, like Now, (Aluc) = faib, e, e, s4 (ANB) = { d, f, g, hq = Aujota Laut, stig, Grill So,) (A' UC) & (ANB) = ha, b, c, d, e, f, g, h, jų (B. (Alue) u CA NB) is non empty set 0-1 x 1 men f, xc94 = $1,2,3,4,5,6,8,7? Aadnenl n is even , & nigh & 2, 4, 6, 64

Barnen, ni's oddDali neg? Page: id 1, 3, 5, 7, ? & & nesh e=da 1 nen = 41, 2,3,44 Now (AnB)'- V- CA0B) = v as AOB ¢ Therefore (ADB) Uca UNC = (Anbot 0 (1,2,3,4,5,6,7,84 ie (AnB)'ve is non-empty set Whenever ANB=0 - A, bis mufully disjoint then AnBrd. an( ANB) -0. for ag example, A=21,2,34 B= 25,6,74 7 An B=0 = N(AMB)20.

Page: nanB)=0 и в саи моt bе subset of A. if BCA then BOA & 8. = n(ANB) 10. ie, of is wrong that if ncanB) =0 when B is subset of A Example of A&B 8th(ANB) 20. 파트다 - A-d 1,34 B = 22,44 ANB=0 5) n(AnB)20 - ve is suitable option ② example.