Decide whether the equation is "conditional," an "identity," or a "contradiction." Give its solution set.
-$5 ( 5 g - 28 ) - 25 g + 140 = 0$
A) Conditional; {all real numbers }
B) Identity; {all real numbers $\}$
C) Identity; $\varnothing$
D) Contradiction; $\varnothing$

Question

Decide whether the equation is "conditional," an "identity," or a "contradiction." Give its solution set.
-$5 ( 5 g - 28 ) - 25 g + 140 = 0$ 
A) Conditional; {all real numbers }
B) Identity; {all real numbers $\}$
C) Identity; $\varnothing$
D) Contradiction; $\varnothing$

Quizplus · Accepted Answer

This equation simplifies to $0 = 0$ after distributing and combining like terms, which is true for all values of $g$. Therefore, it is an identity, and its solution set includes all real numbers.

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