Let {A: a € A} be an index family of sets. Then & E UEA Aa iff x E Aa for all a Ε.Δ. True False
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- * If g € ([a,b] and g(x) € [a,b] for all x € [a, b] then g has only one fixed point in[a, b] true O false OL. RELATIONS Let C= D= {-3, -2, -1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y)ECx D, (x, y) ER means that 1/x- 1/y is an integer. 1. a. Is 2 S 2? b. Is -1 S-1? c. Is (2, 2) E S? d. Is (2, -2) E S?please do it ASAP... I'll give you up thumb definitely
- Question 1 Let A be the set A = {3,4, 8, 9, 12, 24, 54). Determine whether the following relationships are (1) transitive, (2) reflexive, and (3) symmetric or anti-symmetric. Provide the set for each relation on the set A. a. R = {(a, b) a divides b} b. R = {(a,b)| apart D E4. Let X = {n €N : 10Question 14 Suppose an equivalence relation R has the following equivalence classes that partition the set X. {0.2), {1), {3.4} Select the set that represents R {(0,2). (1,1), (3,4)} {{0,0), (0.2). (1,1), (3,3), (3.4) {(0.0), (0,2), (2.2), (1,1). (3.3) (4,4), (3,4)) {(0,0). (0,2). (2.2). (2.0), (1,1), (3,4), (3,3),(4,4). (4,3}DISCRETE MATHEMATICSLet A = {3, 4, 5} and B = {5, 6, 7}, and let S be the "divides" relation from A to B. That is, for every ordered pair (x, y) E Ax B, x Sy x|y. Which ordered pairs are in S and which are in S-? (Enter your answers in set-roster notation.) {1} S = %3D S-1Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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