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HELP WITH THESE TWO PROBLEMS FROM CS DISCRETE MATH Problem 1 Consider the sets A = {a, b, c), B = { 1, 2), C

HELP WITH THESE TWO PROBLEMS FROM CS DISCRETE MATHimage text in transcribed

Problem 1 Consider the sets A = {a, b, c), B = { 1, 2), C = {b, c } . List the elements of the following sets: a) D=(A B)-(CXB) b) E-2C-2 c) F 2(2c) e) H={(x, y, z) | x, y, zeBAXtyAX=z) Problem 2 Identify the error or errors in this argument that supposedly shows that if 3x P(x) 3x Q(x) is true then 3x (P(x) Q(x)) is true. 1.3x P(x) 3x Q(x) 2. 3x P(x) 3. P(c) 4.3x Q(x) 5. Q(c) 6. P(c) Q(c) 7.3x (P(x) Q(x)) Premise Simplification from (1) Existential instantiation from (2) Simplification from (1) Existential instantiation from (4) Conjunction from (3) and (5) Existential generalization

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