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Example: Translating and Solving 'Four more than is at most 15'
To translate and solve the sentence "Four more than is at most 15," identify the key relational phrases:
- Translate the left side: The phrase "Four more than " denotes addition, directly translating to .
- Translate the inequality: The phrase "is at most" indicates a maximum boundary, corresponding to the "less than or equal to" symbol, .
Together, these components produce the algebraic inequality .
To solve, isolate the variable by applying the Subtraction Property of Inequality and subtracting from both sides:
Graphing this solution on a number line requires placing a right bracket at to show inclusion and shading all numbers to the left. The solution expressed in interval notation is .
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Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
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Example: Translating and Solving 'Four more than is at most 15'