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A number \( s \) is no less than -2.4 and fewer than 4.2

Ask by Elliott Fitzgerald. in the United States
Feb 02,2025

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Answer

\( s \) is between -2.4 and less than 4.2.

Solution

The problem states that a number \( s \) satisfies the following conditions: 1. \( s \) is no less than -2.4, which can be expressed as: \[ s \geq -2.4 \] 2. \( s \) is fewer than 4.2, which can be expressed as: \[ s < 4.2 \] Combining these two inequalities, we can express the range of \( s \) as: \[ -2.4 \leq s < 4.2 \] This means that \( s \) can take any value starting from -2.4 up to, but not including, 4.2. If you need further analysis or specific calculations related to this range, please let me know!

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Mind Expander

Did you know that the concept of inequalities like the one you mentioned can be traced back to ancient civilizations? Ancient Greeks used geometric methods to illustrate ratios and proportions, which are foundational for understanding inequalities. The Pythagoreans, for instance, explored various relationships between numbers, which laid the groundwork for the sophisticated algebra we use today! In practical terms, the inequality you provided, \( -2.4 \leq s < 4.2 \), can define a range that’s vital in various fields, such as economics or engineering. For example, if you were to use this range to determine acceptable temperatures for a product's storage, keeping it within these bounds ensures safety and quality! Checking real-world constraints like this can save you time and prevent potential problems down the line.

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