Question

1. A∧B∨(A∨C)2. A∧B∧(A∨C)3. (A∧C)∨(A∨B)​

Answer 1

Ответ:3

Объяснение: сам проверил это правельно

Answer 2

It looks like you've provided three logical expressions. I'll evaluate each of them for you:

1. A∧B∨(A∨C):

   This is a logical expression using the conjunction (∧) and disjunction (∨) operators. Let's break it down:

   • A∧B: This is true only if both A and B are true.
   • A∨C: This is true if either A or C (or both) are true.

   So, the overall expression A∧B∨(A∨C) is true if either A and B are true or if A and C are true (or if all three are true).

2. A∧B∧(A∨C):

   This is a logical expression using the conjunction (∧) operator. Let's break it down:

   • A∧B: This is true only if both A and B are true.
   • A∨C: This is true if either A or C (or both) are true.

   So, the overall expression A∧B∧(A∨C) is true only if A, B, and A∨C are all true at the same time. This means A must be true, B must be true, and either A or C (or both) must be true.

3. (A∧C)∨(A∨B):

   This is a logical expression using the disjunction (∨) operator. Let's break it down:

   • A∧C: This is true only if both A and C are true.
   • A∨B: This is true if either A or B (or both) are true.

   So, the overall expression (A∧C)∨(A∨B) is true if either A and C are true or if A and B are true (or if both conditions are true).

In summary:

• Expression 1 is true if either A and B are true or if A and C are true (or both).
• Expression 2 is true only if A, B, and A∨C are all true at the same time.
• Expression 3 is true if either A and C are true or if A and B are true (or both).