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Chapter 4: Problem 74

Translate to an inequality. The maximum safe level for chronic inhalation of formaldehyde is 0.003 parts per million.

Short Answer

Expert verified
\( x \leq 0.003 \)

Step by step solution

01

Identify the key information

The maximum safe level for chronic inhalation of formaldehyde is given as 0.003 parts per million.
02

Define the variable

Let the variable, say, \( x \), represent the parts per million of formaldehyde in the air.
03

Formulate the inequality

Since inhalation above 0.003 parts per million is unsafe, the inequality should reflect that inhalation should be less than or equal to 0.003 parts per million. Therefore, the inequality is: \( x \leq 0.003 \).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

maximum safe level
When dealing with potentially harmful substances, understanding the maximum safe level is crucial.
The maximum safe level is the highest concentration of a substance that is still considered safe for human exposure over a certain period.
In this exercise, the maximum safe level for formaldehyde, which can be inhaled chronically, is stated as 0.003 parts per million (ppm).
This means any concentration above this level could pose health risks and must be controlled.
Knowing these limits helps ensure the air quality is safe and within regulatory standards.
formaldehyde concentration
Formaldehyde is a colorless gas with a strong odor, often used in building materials and many household products.
Formaldehyde concentration refers to the amount of formaldehyde present in the air, usually measured in parts per million (ppm).
For chronic inhalation, maintaining a low level of formaldehyde concentration is important for health.
In the context of this problem, the concentration level should not exceed 0.003 ppm to avoid any potential health hazards.
Keeping formaldehyde levels in check is essential for environments like homes, workplaces, and schools to ensure they are safe for occupants.
variable representation
In algebra, it's common to represent unknown quantities with variables.
Variables are symbols, usually letters, that stand for values which may change or are unknown.
For this exercise, we use the variable, say, \( x \), to represent the formaldehyde concentration in the air in ppm.
This helps in framing the problem mathematically so that it can be analyzed and solved effectively.
By defining the variable appropriately, the relationship between different quantities becomes clearer, and mathematical operations can be applied to solve the problem.
inequality formulation
Once the key information and variable are identified, the next step is to formulate the inequality.
The inequality must reflect the safety constraint that the formaldehyde concentration should not exceed the maximum safe level.
In this case, since the inhalation is unsafe above 0.003 ppm, the inequality is expressed as \( x \leq 0.003 \).
This means that the concentration of formaldehyde, \( x \), should be less than or equal to 0.003 ppm.
Formulating the inequality correctly ensures that the safety limit is maintained and helps in assessing whether the air quality meets the required standards.

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