Mathematics, 10.07.2019 01:20 dayanaraa61
11. (10 pts) the following is an outline of a proof that (a n by ca u b. fill in the blanks. proof: given sets a and b, to prove that (an by s a ub we suppose xea c and then we show that x e so suppose that then by definition of complement, .so by definition of intersection, it is not the case that (x is in a and x is in b). consequently, x is not in b because of de morgan's law of logic. x is not in a in symbols, this says that x ea or x eb. again, by definition of complement, x e thus, by definition of union, x e [as was to be shown]. theorem 6.2.2. set identities (b) anb= bna (b) (an bn c= an (bn c (b) an (buc) (an bu (anc) (a) aub=bua (a) (a u buc au(bu c 1. commutative laws: 2. associative laws: 3. distributive laws: 4. identity laws: (a) au (bnc) ( aub)n(auc) (a) au0= a (a) au a u (a a (a) au a a (a) auu u (a) (a u b anb (a) au (an b = a (a) u 0 a b a nb a (b) anu (b) an a 0 5. complement laws: 6.double complement law 7. idempotent laws: 8. universal bound laws: (b) an a=a (b) ane 0 (b) (an baub (b) an (a u b = a (b) u 9. de morgan's laws: 10. absorption laws: 11.complements of u and 0 12. set difference law: 12. (10 pts) derive the following result "algebraically" using the properties listed in theorem 6.2.2, give a reason for every step that exactly justifies what was done in the step. "for all sets a, b, and c, (a u c) - b (a- b) u (c-b)."
Answers: 3
Mathematics, 21.06.2019 19:30
Need now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.
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How do newtons third law of motion demonstrates on a rollar coster
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11. (10 pts) the following is an outline of a proof that (a n by ca u b. fill in the blanks. proof:...
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