57. - (bA-c) a. - (-bA~c) 58.-bnc b.-(-b→-c) 59. - (bvc) c. bA-c d.-(-b c) 60. - bA-c 61. - (b c) e.-bvc 62. bvc f.-bn-c For Problems 63-70, rewrite each sentence using appropriate nega rules. You may have to use two different equivalences in each proble 63. -[-a→-(~pvm)] 64. -[c→-(rv -n) 766. - [w→(-knh)] 65. -[a (bv -r)] 67. -[- qv (a –→- p)] 68. [sA(-d→c)]

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57-67 odd numbers
ntements, Connectives and Equivalences
In Problems 57-62, match each numbered statement to its lettered
equivalent.
57. - (bA-c)
a. - (-bA-c)
b. -(-b→-c)
58. bAc
59. - (bvc)
c. bA-c
60. - bA-c
d. -(-b c)
61. ~ (b→c)
e.-bvc
62. bvc
f.-bA-c
For Problems 63-70, rewrite each sentence using appropriate negation
rules. You may have to use two different equivalences in each problem.
64. - [c→-(rv~n)]
66. -[w→(-knh)]
68. [sA(~d→ c)]
70. -[g v (m~ p)]
63. -[-a→-(~pvm)]
65. - [a →(bv - r)]
67. - [-qv (a→~ p)]
69. -[~a^(~b++ c)]
For Problems 71–83, based on your knowledge of DeMorgan's
equivalence and the conditional negation equivalence answer true or false
for each problem.
71. If (~qnd) is true, then qv d is.
72. If (-dvq) is false, then dA~ q is
73. If qnd is false, then ~(q v~d) is
O is
Transcribed Image Text:ntements, Connectives and Equivalences In Problems 57-62, match each numbered statement to its lettered equivalent. 57. - (bA-c) a. - (-bA-c) b. -(-b→-c) 58. bAc 59. - (bvc) c. bA-c 60. - bA-c d. -(-b c) 61. ~ (b→c) e.-bvc 62. bvc f.-bA-c For Problems 63-70, rewrite each sentence using appropriate negation rules. You may have to use two different equivalences in each problem. 64. - [c→-(rv~n)] 66. -[w→(-knh)] 68. [sA(~d→ c)] 70. -[g v (m~ p)] 63. -[-a→-(~pvm)] 65. - [a →(bv - r)] 67. - [-qv (a→~ p)] 69. -[~a^(~b++ c)] For Problems 71–83, based on your knowledge of DeMorgan's equivalence and the conditional negation equivalence answer true or false for each problem. 71. If (~qnd) is true, then qv d is. 72. If (-dvq) is false, then dA~ q is 73. If qnd is false, then ~(q v~d) is O is
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