A calibration line can compute an inverse value while the range gate still matters. 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 first unknown satisfies the calibrated line

The standards give slope 3 and offset 2. Signal 5 calibrates to value 1.

5=2+315=2+3\cdot1
Calibration lineStandards fix slope, offset, inverse value, and range gate.low standardhigh standardunknown

A higher in-range signal maps to a higher value

Signal 11 uses the same line and maps to value 3. The row remains inside the declared standards.

11=2+3311=2+3\cdot3
Calibration lineStandards fix slope, offset, inverse value, and range gate.low standardhigh standardunknown

Out-of-range signals are visible even when arithmetic closes

Signal 17 would calculate to value 5, but the signal is beyond high standard 14.

17>14,v=517>14,\quad v=5
Calibration lineStandards fix slope, offset, inverse value, and range gate.low standardhigh standardunknown