A manufacturer makes shipments of building block sets that should ideally have 315 pieces. A quality-control inspector randomly selects a set. Any set that varies from the ideal number of pieces by more than 8 blocks is sent back. What is the range of allowable number of blocks for a building set?

307 to 323 blocks

Step-by-step explanation:

The range of allowable number of blocks for a building set is the minimum numbers of blocks in a set to the maximum number of blocks in set that would not cause the set to be sent back. Since the ideal number 315 pieces and the allowed deviance is 8 blocks less or more, the allowable range is:

315 - 8 ≤ N ≤ 315 + 8

307 ≤ N ≤ 323.

The range of allowable number of blocks for a building set is 307 to 323 blocks.