Question

When electricity fluctuates, it creates an interval that the voltage must maintain. For 110 voltage, there could be a variation as much as 3 volts up or down. Write the voltage possibilities in inequality notation and absolute value inequality.

a) 107≤V≤113, ∣V−110∣≤3

b)107≤V≤113, ∣V−110∣>3

c)107
d)107

Answer 1

The allowable voltage range for outlets fluctuating around 110 volts is represented by the inequality 107≤V≤113 and the absolute value inequality |V−110|≤3.

Step-by-step explanation:

The question refers to the permissible variation in electrical voltage for a typical household outlet in the United States, which is normally at 110 volts. When we account for fluctuations, the voltage (V) can fluctuate by up to 3 volts above or below the standard 110 volts. Therefore, the voltage possibilities, expressed using inequality notation, are 107≤V≤113. This states that the voltage can be greater than or equal to 107 volts and less than or equal to 113 volts. In terms of absolute value inequality, the voltage fluctuations are represented as |V−110|≤3. This indicates that the deviation from the standard 110 volts can be at most 3 volts, whether above or below.