what is twice the sum of a number is at least 12 in an equation

To translate the phrase "twice the sum of a number is at least 12" into an equation, let's break it down:

1. Let the unknown number be represented by \( x \).
2. "The sum of a number" is just \( x \).
3. "Twice the sum of a number" means \( 2x \).
4. "Is at least 12" means it is greater than or equal to 12, which is represented as \( \geq 12 \).

So, the equation is:

\[
2x \geq 12
\]

Would you like to know how to solve this inequality or explore similar examples?

### Relative Questions:
1. What is the solution to \( 2x \geq 12 \)?
2. How would the inequality change if it was "twice the sum of a number is **less** than 12"?
3. What would be the inequality for "three times the sum of a number is at least 15"?
4. How does the solution change if the condition is "twice the sum of a number is exactly 12"?
5. What are some real-life examples that use inequalities like \( 2x \geq 12 \)?

### Tip:
Remember, the phrase "at least" in inequalities always means \( \geq \), while "at most" means \( \leq \).

Learn how to express and solve the inequality 'twice the sum of a number is at least 12' step by step. This problem involves key algebraic concepts such as inequalities and basic operations, making it suitable for students in Grades 6-8.

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