Pregunta
Answer: The answer is: \( x<7 \) Exactly right. High fivel Show the full solution Write the answer in interval notation.
Ask by Delgado Brooks. in South Africa
Mar 08,2025
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The solution is \( x < 7 \), which in interval notation is \( (-\infty, 7) \).
Solución
To solve the inequality \( x < 7 \), we can follow these steps:
1. **Identify the inequality**: The inequality states that \( x \) is less than 7.
2. **Express the solution**: The solution to this inequality includes all real numbers that are less than 7.
3. **Write in interval notation**: In interval notation, we represent the set of all numbers less than 7 as \( (-\infty, 7) \). The parenthesis indicates that 7 is not included in the solution.
Thus, the final answer in interval notation is:
\[
(-\infty, 7)
\]
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Simplifique esta solución Extra Insights
To solve the inequality \( x < 7 \), we can represent the solution graphically on a number line, where all numbers to the left of 7 are included, but not 7 itself. In interval notation, this solution is expressed as \( (-\infty, 7) \). This notation indicates that \( x \) can take any value from negative infinity up to, but not including, 7. Now, let's give a little clap for making deductions from inequalities! Understanding how to manipulate and express inequalities is a crucial skill that can have fun applications in real life, like budgeting or planning projects where limits matter. Keep exploring those boundaries!
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