Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set.
-$2[3-(2-5 r)]-r=-4+3(2+3 r)$
A) Identity; {all real numbers}
B) Conditional; $\{4\}$
C) Contradiction; $\varnothing$
D) Conditional; $\{-2\}$

Question

Quizplus · Accepted Answer

The equation simplifies to an identity, meaning it is true for all values of $r$. Simplifying both sides of the equation results in the same expression, indicating that the equation holds true regardless of the value of $r$, hence the solution set is all real numbers.

Decide Whether the Equation Is Conditional, an Identity, or a Contradiction