Given the Interval $( a , b )$ On The $x$ -Axis with the Point

question 173

Multiple Choice

Given the interval $( a , b )$ on the $x$ -axis with the point $c$ inside, find the greatest value for $\delta > 0$ such that for all $x$ ,
$0 < | x - c | < \delta \Rightarrow a < x < b \text {. }$
- $a = - 2 , b = 8 , c =$

• A) \(\delta = 3\)
• B) \(\delta = 4\)
• C) \(\delta = 7\)
• D) \(\delta = 1\)

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Definitions:

Thermal Overload Units

Protective devices in electrical circuits that interrupt power in the event of an overload to prevent overheating, often integrated into motors and circuit breakers.

Full Load Amperes

The current drawn by an electric motor when operating at its designed capacity.

Overload Heaters

Protective devices installed in motor starters to prevent motors from overheating by mimicking the thermal characteristics of the motor under overload conditions.

Inverse Time-Delay

A characteristic of certain protective devices where the time taken to interrupt the current decreases as the magnitude of the fault current increases.