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September 2021
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Nata9911
1. Смотри во вложении.
2. Ответ 1.
1) 0 + 0 + 0 = 0,
2) 1 + 0 + 0 = 1,
3) 0 + 0 + 1 = 1.
3. ((x < 15) →(x < 9)) * ((x < 7) → (x < 25)).
Пусть:
(x < 15) = a,
(x < 9) = b,
(x < 7) = c,
(x < 25) = d.
(a→b) * (c→d) = (¬a + b) * (¬c + d) = (¬(x < 15) + (x < 9)) * (¬(x < 7) + (x < 25)) = (¬(9 < 15) + (9 < 9)) * (¬( 9 < 7) + (9 < 25)) = (0 + 0) * (1 + 1) = 0 * 1 = 0.
Ответ: 0.
4. 3.
5. 2.
6. 2.
7. ((1∧1) ∨ 0) ∧ (1∨1) = (1∨0) ∧ 1 = 1 ∧ 1 = 1.
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Answers & Comments
2. Ответ 1.
1) 0 + 0 + 0 = 0,
2) 1 + 0 + 0 = 1,
3) 0 + 0 + 1 = 1.
3. ((x < 15) →(x < 9)) * ((x < 7) → (x < 25)).
Пусть:
(x < 15) = a,
(x < 9) = b,
(x < 7) = c,
(x < 25) = d.
(a→b) * (c→d) = (¬a + b) * (¬c + d) = (¬(x < 15) + (x < 9)) * (¬(x < 7) + (x < 25)) = (¬(9 < 15) + (9 < 9)) * (¬( 9 < 7) + (9 < 25)) = (0 + 0) * (1 + 1) = 0 * 1 = 0.
Ответ: 0.
4. 3.
5. 2.
6. 2.
7. ((1∧1) ∨ 0) ∧ (1∨1) = (1∨0) ∧ 1 = 1 ∧ 1 = 1.