Math Problem Statement
the sum of 5 and the twice a number is at most 27
Solution
The problem states: "The sum of 5 and twice a number is at most 27." Let's break it down into an inequality.
Let the unknown number be represented by .
- "Twice a number" means .
- "The sum of 5 and twice a number" is represented as .
- "At most 27" means it is less than or equal to 27.
Thus, we can write the inequality as:
Solving the inequality:
- Subtract 5 from both sides:
- Divide both sides by 2:
Thus, the number is at most 11.
Would you like more details or have any further questions?
Here are 5 related questions:
- What if the sum of 5 and three times a number is at most 30?
- How would the inequality change if it was "the sum of 5 and twice a number is at least 27"?
- Can you solve the inequality: ?
- What if the inequality was ?
- How would you write the equation for "the difference of twice a number and 3 is less than 12"?
Tip: When solving inequalities, always reverse the inequality sign if you multiply or divide by a negative number.
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Math Problem Analysis
Mathematical Concepts
Inequalities
Linear Equations
Formulas
5 + 2x ≤ 27
Theorems
Properties of Inequalities
Suitable Grade Level
Grades 6-8
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