Math Problem Statement

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

Solution

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 xx.
  2. "The sum of a number" is just xx.
  3. "Twice the sum of a number" means 2x2x.
  4. "Is at least 12" means it is greater than or equal to 12, which is represented as 12\geq 12.

So, the equation is:

2x122x \geq 12

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

Relative Questions:

  1. What is the solution to 2x122x \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 2x122x \geq 12?

Tip:

Remember, the phrase "at least" in inequalities always means \geq, while "at most" means \leq.

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities

Formulas

2x ≥ 12

Theorems

Properties of Inequalities

Suitable Grade Level

Grades 6-8