The normal body temperature of a camel is 37∘C. This temperature varies by up 3∘ throughout the day. Write and solve an absolute value inequality that represents the range of normal body temperatures (in degrees Celsius) of a camel throughout the day. Given information: Normal temperature of camel =37∘C This temperature can vary by up to 3∘C

Question

The normal body temperature of a camel is 37∘C. This temperature varies by up 3∘ throughout the day. Write and solve an absolute value inequality that represents the range of normal body temperatures (in degrees Celsius) of a camel throughout the day.  Given information:  Normal temperature of camel =37∘C  This temperature can vary by up to 3∘C

Faiza Fuller · Accepted Answer

Let T denotes temperature (in degrees Celsius) of a camel throughout the day. Now it is given that the normal temperature of camel is 37∘C and it can vary from by up to 3∘C. Thus, the required absolute value inequality is: |T−37|≤3 Now consider, |T−37|≤3 −3≤T−37≤3 −3+37≤T−37+37≤3+37 34≤T≤40 The solution is 34≤T≤40.

Vasquez · Accepted Answer

We can write the absolute value inequality:|x−37|≤3Here, x represents the body temperature of the camel throughout the day. The absolute value of the difference between x and 37 should be less than or equal to 3, indicating that the temperature can vary within 3 degrees Celsius from the normal temperature.To solve this absolute value inequality, we can break it down into two separate inequalities:1. x−37≤32. −(x−37)≤3Solving the first inequality:x−37≤3Adding 37 to both sides:x≤3+37Simplifying:x≤40Solving the second inequality:−(x−37)≤3Expanding the negative sign:−x+37≤3Subtracting 37 from both sides:−x≤3−37Simplifying:−x≤−34Multiplying both sides by -1 (which reverses the inequality):x≥34Therefore, the solution to the absolute value inequality |x−37|≤3 is given by 34≤x≤40.

karton · Accepted Answer

Answer:x∈[34,40]Explanation:We have:|x−37|≤3In this inequality, x represents the body temperature of the camel throughout the day. The absolute value of the difference between x and 37 must be less than or equal to 3.To solve this absolute value inequality, we can consider two cases:Case 1: x−37≥0In this case, the absolute value can be removed, and we have:x−37≤3Solving for x:x≤3+37x≤40Case 2: x−37&amp;lt;0In this case, we need to negate the absolute value by multiplying it by -1, and we have:−(x−37)≤3Simplifying the inequality:−x+37≤3Solving for x:−x≤3−37−x≤−34Remember that when multiplying or dividing an inequality by a negative number, the inequality sign must be flipped. So, multiplying both sides by -1:x≥34Therefore, the solution to the absolute value inequality is:x∈[34,40]This means that the normal body temperature of a camel throughout the day can range from 34 degrees Celsius to 40 degrees Celsius, inclusive.

user_27qwe · Accepted Answer

The absolute value of the difference between x and the normal temperature of a camel, 37 degrees Celsius, should be less than or equal to 3 degrees Celsius. Mathematically, we can express this as:|x−37|≤3This inequality states that the absolute value of the difference between x and 37 is less than or equal to 3.To solve this inequality, we can break it down into two separate inequalities:1. x−37≤3: This represents the case when x−37 is positive.2. −(x−37)≤3: This represents the case when x−37 is negative.Solving the first inequality:x−37≤3x≤3+37x≤40Solving the second inequality:−(x−37)≤3−x+37≤337≤x+334≤xCombining the solutions, we find that the range of normal body temperatures of a camel throughout the day is 34 degrees Celsius (or greater) to 40 degrees Celsius (or less).Therefore, the absolute value inequality that represents the range of normal body temperatures of a camel throughout the day is:34≤x≤40

The normal body temperature of a camel is 37^{\circ}C. This temperature va

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