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

Options

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

Explanation

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

### Step 1: Identify the components of the statement
The original statement can be broken down into two parts:
1. Plants take in CO₂.
2. Plants give out O₂.

### Step 2: Understand the logical structure
The statement is a conjunction (AND statement) of the two parts mentioned above. In logical terms, it can be represented as:
- P: "Plants take in CO₂"
- Q: "Plants give out O₂"
- The original statement can be written as P AND Q.

### Step 3: Apply the negation
The negation of a conjunction (P AND Q) is given by De Morgan's laws, which state that:
¬(P AND Q) is equivalent to (¬P OR ¬Q).

This means we need to negate both parts of the statement and change the conjunction to a disjunction (OR).

### Step 4: Negate each part
1. The negation of "Plants take in CO₂" is "Plants do not take in CO₂" (¬P).
2. The negation of "Plants give out O₂" is "Plants do not give out O₂" (¬Q).

### Step 5: Combine the negated parts
Using the results from Step 4, we combine them using OR:
- The negation of the original statement is "Plants do not take in CO₂ OR plants 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 in CO₂ or do not give out O₂."

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