(b) Let M = {d, i, {m}, a, t, h, s}. Justifying your answers, say whether the follow- ing are true or false. (i) {m} C M; (iї) {m} € М; (iї) {m} € P(М); (iv) {m}UM = M.

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A: Which of the following statements is true?

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Q: Select all statements that are always true O 124×B| = (2\Bly|A|. O JAUB|= |A| + |B|. O (AUB) × (CU…

A: Given:

Q: (a) A\(Cn B) = (A\B) U (A\C); (b) (AUB)\C = AU (B\C); (c) A\(CUB) = (A\B)\C.

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A:

Q: I. Find the length of the following sets: 1. e((-0.1,1.5)) 2. P(R) 3. e((-∞,4]) 4. e((4,7) U…

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Q: Select the logical expression that is equivalent to:-3xv(A(x) B(x,y)) -(A(x) B(x,y))…

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A:

Q: a) PV (QAR) b) P^(-QVR) c) P⇒ (-QAR) d) P⇒ (QV¬R)

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A:

Q: Determine which formula pairs are equivalent. If equivalent, prove it using the laws of equivalence…

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Q: AUB=An B.

A:

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Q: LOGIC: Find the truth value as directed if p and q are true and r and s are false. Use the space…

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Q: State the rule of inference by which its conclusion follows from its premise or premises. (W. ~ X) =…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.