The range of normal body temperatures in degrees celsius of a camel throughout the day when [tex]t\in[34^\circ \rm{C},\; 40^\circ \rm{C}][/tex].
Explanation:
Given: The normal body temperature of a camel is [tex]37[/tex] degrees celsius the temperature varies by up to three degrees celsius throughout the day.
Let the normal temperature of camel be [tex]t_{o}[/tex].
According to the question,
Absolute temperature of camel's body throughout day is calculated as
[tex]\\\vert {t-t_{o}} \rvert}\leq3\\\\\vert {t-37} \rvert}\leq3\\[/tex]
Now, solving the inequality:
[tex](t-37)\leq3[/tex] and [tex]-(t-37)\leq3[/tex]
[tex]t-37+37 \leq {37+3}[/tex] and [tex]{-t+37}\leq3[/tex]
[tex]t\leq40[/tex] [tex]-t+37-37\leq3-37[/tex]
[tex]-t\leq-34\\[/tex]
[tex]{t\geq34}[/tex]
Here, range of temperature is [tex][34^\circ \rm{C},\; 40^\circ \rm{C}][/tex]
Therefore, the range of normal body temperatures in degrees celsius of a camel throughout the day when [tex]t\in[34^\circ \rm{C},\; 40^\circ \rm{C}][/tex].
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