A:if 2+4=7 , then 3+4=8
B:if 3+5=8,then earth is flat
C:If A and B are true then 5+4=11

Options

A. A is true B and C are false
B. B is true A and C are false
C. C is true B and A are false
D. B is false A and C are true

Answer

To solve the problem, we need to analyze the three statements A, B, and C logically.

### Step 1: Analyze Statement A
Statement A states: "If 2 + 4 = 7, then 3 + 4 = 8."

- **Evaluate the premise (P)**: 2 + 4 = 6, which is false.
- **Evaluate the conclusion (Q)**: 3 + 4 = 7, which is also false.

In logical terms, if the premise (P) is false, the entire statement (P → Q) is considered true regardless of the truth value of Q. Therefore, Statement A is **true**.

### Step 2: Analyze Statement B
Statement B states: "If 3 + 5 = 8, then the Earth is flat."

- **Evaluate the premise (P)**: 3 + 5 = 8, which is true.
- **Evaluate the conclusion (Q)**: The Earth is flat, which is false.

In this case, since the premise (P) is true and the conclusion (Q) is false, the statement (P → Q) is considered false. Therefore, Statement B is **false**.

### Step 3: Analyze Statement C
Statement C states: "If A and B are true, then 5 + 4 = 11."

- We have already established that Statement A is true and Statement B is false.
- Therefore, the condition "A and B are true" is false because B is false.

In logical terms, if the premise (P) is false, then the implication (P → Q) is considered true regardless of the truth value of Q. Thus, Statement C is **true**.

### Conclusion
- Statement A: True
- Statement B: False
- Statement C: True

### Final Answer
According to the analysis, the correct answer is that A and C are true while B is false.