The absolute value of the difference between the actual and normal body temperature is less than or equal to 3.
Inequality: |x-37|≤ 3 Solution: 34^(∘) to 40^(∘)
Practice makes perfect
To calculate the difference between the actual and normal body temperature of a camel, we subtract them.
actual temperature- normal temperature
Writing the Inequality
We are told the normal body temperature is 37^(∘) C. Let x be the actual body temperature of a camel.
x- 37
Note that the actual temperature can be lower or higher than the normal temperature. To keep the difference always non-negative, we will use absolute value.
| x- 37|
We also know that the body temperature of a camel varies by up to 3^(∘)C throughout a day. This means that the difference between actual and normal temperature must be less than or equal to 3^(∘)C.
| x- 37| ≤ 3
To solve the compound inequality, we need to solve its individual inequalities one at a time. Let's start by solving - 3≤ x-37. To do so, we will use inverse operations.
The solution to this type of compound inequality is the intersection of the solution sets.
First Solution Set:& 34≤ x
Second Solution Set:& x ≤ 40
Intersecting Solution Set:& 34≤ x ≤ 40
The range of actual body temperature of a camel is between 34^(∘)C and 40^(∘)C.
