Number lines pair open circles with strict inequalities (excluding endpoints) and filled circles with inclusive ones, converting exactly to interval notation via parentheses or brackets.
x > 5 becomes (5, ∞)
x ≥ 5 becomes [5, ∞)
1 < x < 5 becomes (1, 5)
1 ≤ x ≤ 5 becomes [1, 5]
x ≤ 1 or x ≥ 5 becomes (−∞, 1] ∪ [5, ∞)
In order to activate cooling systems, engineers set temperature safety thresholds in industrial sensors as 1 ≤ T ≤ 5 °C above baseline.