Let's analyze the given information:
We have the expression [tex]\( x < 3 \)[/tex] and we also know that [tex]\( x = 4 \)[/tex].
1. Substitute [tex]\( x \)[/tex] with 4 in the inequality:
[tex]\[
4 < 3
\][/tex]
2. Evaluate the truth of the inequality:
- We need to determine if 4 is less than 3.
- Clearly, 4 is not less than 3.
3. Conclusion:
- Since 4 is not less than 3, the statement [tex]\( x < 3 \)[/tex] when [tex]\( x = 4 \)[/tex] is false.
Therefore, the correct answer is:
False
