Let U = { 0, 1, 2, 3, 4, 5, 6, 7, 8} A = { 1, 2, 3, 4, 5} B = { 3, 4, 5, 6, 7} C = {0, 1, 7, 8} Determine A ∩ (B' ∪ C)
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Let U = { 0, 1, 2, 3, 4, 5, 6, 7, 8}
A = { 1, 2, 3, 4, 5}
B = { 3, 4, 5, 6, 7}
C = {0, 1, 7, 8}
Determine A ∩ (B' ∪ C)
Step by step
Solved in 2 steps
- Which is not a σ-algebra of S = {0, 2, 4, 5, 7}? (a) {S, Φ, {0}, {2}, {0,2}, {4,5,7}, {0,4,5,7}, {2,4,5,7}} (b) {S, Φ, {0}, {0,2}, {4,5}, {0,2,4,5}, {0,2,7}, {4,5,7}} (c) {S, Φ, {0}, {4,5}, {2,7}, {0,4,5}, {0,2,7}, {2,4,5,7}} (d) {S, Φ, {2}, {4}, {7}, {2,4}, {2,7}, {4,7}, {0,5}, {2,4,7}, {0,2,5}, {0,4,5}, {0,5,7}, {0,2,4,5}, {0,2,5,7}, {0,4,5,7}}Is the set {(−3, 0, 3), (1, −1, 2)(4, −2, 2 ), (2, 1, 3)} of ?3 linear dependent over ??Let S = {0, 1, 2, 4, 6}. Test the following relation whether it has equivalencerelation on S.R = {(0, 0), (1, 1), (2, 2), (4, 4), (6, 6), (0, 1), (0, 2), (1, 2), (4, 6)}
- A. Let u = (1, 2, 3, 4), v = (0, 2, t, 3), and w = (1, 1, 1, 1).Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S = (0, 1), T = [1/2, 3/2] (2) S ={x |x2 > 4}, T = {x |x2 < 9} (3) S =(-∞, ∞), T = Ø (4) S =(-∞, -1), T = (1, ∞)Let U= (1,2,3,4,5,6,7,8) Let A= (1,2,3,4) B- (1,2,4,5) Find AUB
- Prove that the four points P(2, ;1, 1), Q(1, 3, ; 2), R((2, 1, ; 3) and S(3, 2, 0) are coplanarLet U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Also let A = {1, 3, 5, 7, 9} and B = {2, 4, 5, 6, 7}. Find A∪BcLet A={a,b,c,d,e} and S, T, U and V relations on A where S = {(a,a), (a,b), (b,c), (b,d), (c,e), (e,d), (c,a)} T = {(a,b), (b,a), (b,c), (b,d), (e,e), (d,e), (c,b)} U= {(a,b), (a,a), (b,c), (b,b), (e,e), (b,a), (c,b), (c,c), (d,d), (a,c), (c,a)} V= {(a,b), (b,c), (b,b), (e,e), (b,a), (c,b), (d,d), (a,c), (c,a)} a) Which of the relations are reflexive? Justify your answer. b) Which of the relations are antisymmetric? Justify your answer. c) Find U V. d) Find T─S.