Question

3. Определите истинность высказываний:А = «15 делится на 3. А=В = «2 больше 0», B = С = « 8 – нечётное число» C =К = « 5 – чётное число» K =А + В = «15 делится на 3 или 2 больше 0» A + B=А + С = «15 делится на 3 или 8 – нечётное число» A + C = С + К = « 8 – нечётное число или 5 – чётное число» C + K =4. Определите значения выражений, еслиA = истина, B = истина, C= ложьA и C ___ A или C ___Не A или C ___A и C или B ___Не A или C и B ___Не (A или C) и (B или C) ___

Answer 1

А = «15 делится на 3»,    А=истинно
В = «2 больше 0»,       B = истинно 
С = « 8 – нечётное число»     C =ложно
К = « 5 – чётное число»      K =ложно
А + В = «15 делится на 3 или 2  больше 0»   A + B=истинно
А + С = «15  делится на 3 или 8 – нечётное число»  A + C = истинно
С + К = « 8 – нечётное число или  5 – чётное число»  C + K =истинно

4.

A = истина, B = истина, C= ложь
A и C  - истина
A или C     - истина 
Не A или C   - ложь
A и C или B    -истина
Не A или C и B - ложь  
Не (A или C) и (B или C)  - ложь

Answer 2

Truth of Statements

The given statements are as follows: - A = "15 is divisible by 3" - A = B = "2 is greater than 0" - B = C = "8 is an odd number" - C = K = "5 is an even number" - K = A + B = "15 is divisible by 3 or 2 is greater than 0" - A + B = A + C = "15 is divisible by 3 or 8 is an odd number" - A + C = C + K = "8 is an odd number or 5 is an even number" - C + K = ?

Let's evaluate the truth of these statements.

1. A = "15 is divisible by 3" - The statement A = "15 is divisible by 3" is true.

2. A = B = "2 is greater than 0" - The statement A = B = "2 is greater than 0" is true.

3. B = C = "8 is an odd number" - The statement B = C = "8 is an odd number" is false.

4. C = K = "5 is an even number" - The statement C = K = "5 is an even number" is false.

5. K = A + B = "15 is divisible by 3 or 2 is greater than 0" - The statement K = A + B = "15 is divisible by 3 or 2 is greater than 0" is true.

6. A + B = A + C = "15 is divisible by 3 or 8 is an odd number" - The statement A + B = A + C = "15 is divisible by 3 or 8 is an odd number" is true.

7. A + C = C + K = "8 is an odd number or 5 is an even number" - The statement A + C = C + K = "8 is an odd number or 5 is an even number" is false.

Values of Expressions

Given: - A = true - B = true - C = false

Let's evaluate the expressions.

1. A and C - A and C = false 2. A or C - A or C = true 3. Not (A or C) - Not (A or C) = false 4. A and (C or B) - A and (C or B) = true 5. Not (A or C) and (B or C) - Not (A or C) and (B or C) = false