Solve the Problem $| x + 4 | + | y + 5 | \leq 7$

Multiple Choice

Solve the problem.
-A weak earthquake occurred roughly 4 km south and 5 km west of the center of Shelbyville. The quake could be felt 7 km away. Suppose the origin of the map is placed at the center of Shelbyville With the positive x-axis pointing east and the positive y-axis pointing north. Write an inequality that Describes the points on the map for which the earthquake could be felt, and determine whether the Quake could be felt at the center of Shelbyville.

A) $| x + 4 | + | y + 5 | \leq 7$ ; No, the quake was $9 \mathrm {~km}$ from the center of Shelbyville.
B) $( x + 4 ) ^ { 2 } + ( y + 5 ) ^ { 2 } \leq 49 ;$ No, the quake was $9 \mathrm {~km}$ from the center of Shelbyville.
C) $( x + 4 ) ^ { 2 } + ( y + 5 ) ^ { 2 } \leq 49$ ; Yes, the quake was $6.4 \mathrm {~km}$ from the center of Shelbyville.
D) $| x + 4 | + | y + 5 | \leq 7 ; \mathrm { Yes }$ , the quake was $6.4 \mathrm {~km}$ from the center of Shelbyville.