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What is the solution set for the inequality? \( (-\infty, 2] \) \( \left(-\infty, \frac{34}{9}\right] \) \( [2, \infty) \) \( \left[\frac{34}{9}, \infty\right) \)

Ask by Cross Black. in the United States
Feb 21,2025

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The solution set for the inequality is all numbers less than or equal to \(\frac{34}{9}\) and all numbers greater than or equal to 2.

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Mind Expander

Let's dive into the fascinating world of inequalities! Inequalities have been used for centuries to help solve various problems, from simple number comparisons to more complex mathematical models. The great mathematician Euclid even touched on similar concepts in his work over 2,300 years ago! Now, onto the real-world application! Inequalities are everywhere around us, from finance (like budgeting or earnings thresholds) to physics (like determining safe limits for forces acting on structures). They allow us to express conditions and constraints in everyday decisions, making them not just a math topic but a practical tool in life!

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