The temperatures in parts of Antarctica in degrees Celsius roughly satisfy the inequality $| C + 92 | \leq 53$. What range of temperatures corresponds to this inequality?
A) $\left[ - 145 ^ { \circ } \mathrm { C } , - 39 ^ { \circ } \mathrm { C } \right]$
B) $\left[ - 145 ^ { \circ } \mathrm { C } , 145 ^ { \circ } \mathrm { C } \right]$
C) $\left[ - 39 ^ { \circ } \mathrm { C } , 145 ^ { \circ } \mathrm { C } \right]$
D) $\left[ - 39 ^ { \circ } \mathrm { C } , 39 ^ { \circ } \mathrm { C } \right]$

Question

Quizplus · Accepted Answer

To solve the inequality $| C + 92 | \leq 53$, we break it into two cases: $C + 92 \leq 53$ and $-(C + 92) \leq 53$. Solving the first gives $C \leq -39$, and solving the second gives $C \geq -145$. Thus, the range of temperatures is $[-145, -39]$.

The Temperatures in Parts of Antarctica in Degrees Celsius Roughly ∣C+92∣≤53| C + 92 | \leq 53∣C+92∣≤53

The Temperatures in Parts of Antarctica in Degrees Celsius Roughly $| C + 92 | \leq 53$