Decide whether the equation is "conditional," an "identity," or a "contradiction." Give its solution set.
-$12 \mathrm { k } + 70 = 4 ( 3 \mathrm { k } + 17 )$
A) Identity;{all real numbers}
B) Identity; $\varnothing$
C) Contradiction; $\varnothing$
D) Conditional; {all real numbers}

Question

Quizplus · Accepted Answer

The equation simplifies to $12k + 70 = 12k + 68$, which is a contradiction because it implies $70 = 68$, a false statement. Therefore, the solution set is empty ($\varnothing$).

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