Decide Whether the Equation Is an Identity, a Conditional Equation $$10 x + 91 = 2 ( 5 x + 41 )$$

question 340

Multiple Choice

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
- $$10 x + 91 = 2 ( 5 x + 41 )$$

• A) Conditional; \(\{ 5 \}\)
• B) Identity; {all real numbers}
• C) Contradiction; \(\varnothing\)
• D) Conditional; \(\{ - 5 \}\)

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Definitions:

AC Circuit

A circuit in which the current changes direction periodically, powered by an alternating voltage source.

Inductive Reactance

A measure of the opposition by an inductor to changes in current, dependent on frequency.

Inductance

A property of an electrical conductor by which a change in current in the conductor induces an electromotive force in both the conductor itself and in any nearby conductors by mutual inductance.

Voltage Drop

Voltage drop is the reduction in electrical potential across a component or conductor in an electrical circuit as current flows through it.