The negation of the statement Plants take in `CO_(2)` and give out `O_(2)` " is

Options

A. A. Plants do not take `CO_(2)` and do not give out `O_(2)`.
B. B. Plants do not take `CO_(2)` or do not give `O_(2)`.
C. C. Plants take in `CO_(2)` and do not give out `O_(2)`.
D. D. Planta take in `CO_(2)` or do not give out `O_(2)`.

Answer

To find the negation of the statement "Plants take in CO₂ and give out O₂," we will follow these steps:

### Step 1: Understand the Original Statement
The original statement is a conjunction of two propositions:
1. Plants take in CO₂.
2. Plants give out O₂.

In logical terms, we can represent this statement as:
- Let P: "Plants take in CO₂."
- Let Q: "Plants give out O₂."
- The original statement can be written as: P ∧ Q (P and Q).

### Step 2: Apply the Negation
The negation of a conjunction (P ∧ Q) is given by De Morgan's Laws, which state that:
¬(P ∧ Q) is equivalent to ¬P ∨ ¬Q.

This means that the negation of the statement "Plants take in CO₂ and give out O₂" will be:
- ¬P ∨ ¬Q, which translates to "Plants do not take in CO₂ or do not give out O₂."

### Step 3: Identify the Correct Option
Now we can analyze the options provided:
- A: "Plants do not take CO₂ and do not give out O₂." (This is ¬P ∧ ¬Q, which is not the correct negation.)
- B: "Plants do not take CO₂ or do not give out O₂." (This is ¬P ∨ ¬Q, which is the correct negation.)
- C: "Plants take CO₂ and give out O₂." (This is the original statement, not a negation.)
- D: "Plants take in CO₂ or do not give out O₂." (This is not a correct negation.)

Thus, the correct answer is option B: "Plants do not take CO₂ or do not give out O₂."

### Final Answer
The negation of the statement "Plants take in CO₂ and give out O₂" is:
**"Plants do not take CO₂ or do not give out O₂."**

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