Thank you for visiting The rules state that the weight of the suitcase can vary by at most tex 7 5 p tex Determine the range of acceptable weights. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To solve this problem, we want to determine the acceptable weight range for a suitcase based on given rules. The rule specifies that the weight of the suitcase can vary by at most [tex]\(7.5\)[/tex]. So, the weight is allowed to fluctuate up to [tex]\(7.5\)[/tex] units above or below its current weight, [tex]\(x\)[/tex].
Let's break this down step-by-step:
1. Understand the Concept of Variation: The suitcase's weight can vary by [tex]\(7.5\)[/tex] units. This means:
- The minimum acceptable weight is [tex]\(x - 7.5\)[/tex].
- The maximum acceptable weight is [tex]\(x + 7.5\)[/tex].
2. Representing the Range Mathematically:
- We can use inequalities to express this range. The actual weight of the suitcase, which we'll call [tex]\(weight\)[/tex], can be between these two calculated limits.
- Thus, the inequalities representing this range are:
- [tex]\(x - 7.5 \leq weight\)[/tex]
- [tex]\(weight \leq x + 7.5\)[/tex]
3. Putting it All Together:
- By combining these expressions, we can say that the suitcase weight is acceptable if it satisfies both inequalities:
- [tex]\(x - 7.5 \leq weight \leq x + 7.5\)[/tex].
This step-by-step explanation provides the framework to understand and determine the acceptable weight range of a suitcase based on the described rule of variation by [tex]\(7.5\)[/tex] units.
Let's break this down step-by-step:
1. Understand the Concept of Variation: The suitcase's weight can vary by [tex]\(7.5\)[/tex] units. This means:
- The minimum acceptable weight is [tex]\(x - 7.5\)[/tex].
- The maximum acceptable weight is [tex]\(x + 7.5\)[/tex].
2. Representing the Range Mathematically:
- We can use inequalities to express this range. The actual weight of the suitcase, which we'll call [tex]\(weight\)[/tex], can be between these two calculated limits.
- Thus, the inequalities representing this range are:
- [tex]\(x - 7.5 \leq weight\)[/tex]
- [tex]\(weight \leq x + 7.5\)[/tex]
3. Putting it All Together:
- By combining these expressions, we can say that the suitcase weight is acceptable if it satisfies both inequalities:
- [tex]\(x - 7.5 \leq weight \leq x + 7.5\)[/tex].
This step-by-step explanation provides the framework to understand and determine the acceptable weight range of a suitcase based on the described rule of variation by [tex]\(7.5\)[/tex] units.
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Rewritten by : Jeany
