Chapter 4 - Section 4.3 - Equations and Inequalities Involving Absolute Value - Exercise Set - Page 285: 93

$50 \leq T \leq 64$ At Least temperature is: $50$ degrees Fahrenheit and at most temperature is: $64$ degrees Fahrenheit

Consider the inequality $|T-57|\leq 7$ or, $T \leq 7+57$ This implies that $T \leq 64$ Now, $|T-57|\leq 7$ or, $T \geq -7+57$ This implies that $T \geq 50$ Hence, $50 \leq T \leq 64$ we can conclude that At Least temperature is: $50$ degrees Fahrenheit and at most temperature is: $64$ degrees Fahrenheit