**Homeworklib Q&A #1085 - Complete the truth table and determine whether or not ∼(p∧q**

Complete the truth table and determine whether or not

∼(p∧q)≡∼p∨∼q

Are the two statements equivalent?

**A. **No, the rows are not identical.

**B. **Yes, the columns are identical.

**C. **No, the columns are not identical.

**D. **Yes, the rows are identical.

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**Homeworklib Your Answer**

## 1 General guidance

### The answer provided below has been developed in a clear step by step manner.

## 2 Step By Step

### Step 1

Consider the given statements:

#### Explanation

- p ⋀ q is true only if both p and q are true, otherwise false.
- p ⋁ q is false only if both p and q are false, otherwise true.
- p → q is false only when p is true and q is false, otherwise true.
- p ↔ q is true if both p and q are true and also both are false, otherwise false.
- If p is true then
**¬**p false and vice versa

### Step 2

**B.**Yes, the columns are identical. (see columns with border)

#### Explanation

Please refer to solution in this step.

## 3 Answer

**B.**Yes, the columns are identical. (see columns with border)

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