A range gate accepts and rejects by checked depth. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The depth inside the gate is accepted

The gate runs from 10 to 14 meters, and depth 12 meters lies inside.

10121410\le 12\le 14
Accepted range gateThe accepted echo is inside the checked gate.outechospeed 4 m/secho time 6 spath 24 mdepth 12 maccepted

The depth outside the gate is rejected

The later echo has depth 20 meters, which is outside the same gate.

20>1420>14
Rejected range gateThe rejected echo remains a checked ledger.outechospeed 4 m/secho time 10 spath 40 mdepth 20 mrejected