Question
The inequality, \( x<9 \), in interval notation is \( \square \).
Ask by Matthews Warren. in the United States
Feb 27,2025
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Answer
The inequality \( x < 9 \) in interval notation is \( (-\infty, 9) \).
Solution
To express the inequality \( x < 9 \) in interval notation, we need to identify the set of all numbers that are less than 9.
1. The inequality \( x < 9 \) means that \( x \) can take any value from negative infinity up to, but not including, 9.
2. In interval notation, we represent this as \( (-\infty, 9) \).
Thus, the interval notation for the inequality \( x < 9 \) is \( (-\infty, 9) \).
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Simplify this solution Beyond the Answer
In interval notation, the inequality \( x < 9 \) is expressed as \( (-\infty, 9) \). This means that \( x \) can take any value less than 9, extending all the way to negative infinity. This notation is quite handy in mathematics because it allows us to easily represent a range of values without having to write out all possible numbers, making it clear and concise for solving various problems. Remember, the parenthesis around 9 indicates that 9 is not included in the solution set!
