Final answer:
The correct interval notation for the inequality x<3 is (-∞, 3), which is option B.
Step-by-step explanation:
The inequality x<3 represents all the values of x that are less than 3. To write this inequality as an interval, we're looking for the range of x values starting from the lowest possible number up to, but not including 3. Since we can't include 3 (as that would be x ≤ 3), we use a parenthesis to denote that 3 is not part of the interval. Also, since there is no actual number that is the lowest possible value, we use the symbol for infinity to represent that the values extend indefinitely in the negative direction.
To write the inequality x < 3 as an interval, we need to understand the meaning of intervals and how they are represented. In an interval, the square brackets [ ] indicate that the endpoint is included, while the parentheses () indicate that the endpoint is not included. In this case, since the inequality is x < 3, the endpoint 3 is not included. Therefore, the correct representation of this inequality as an interval is (-∞, 3).
Hence, the correct interval notation is (-∞, 3), which corresponds to option B: (-∞, 3).