Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
-$$10 x - 48 = 5 ( 2 x - 11 )$$
A) Contradiction; $\varnothing$
B) Conditional; $\{ - 2 \}$
C) Conditional; $\{ 2 \}$
D) Identity; {all real numbers\}

Question

Quizplus · Accepted Answer

The equation simplifies to $10x - 48 = 10x - 55$, which leads to $-48 = -55$, a false statement. Thus, it is a contradiction with no solution.

Decide Whether the Equation Is an Identity, a Conditional Equation 10x−48=5(2x−11)10 x - 48 = 5 ( 2 x - 11 )10x−48=5(2x−11)

Decide Whether the Equation Is an Identity, a Conditional Equation $10 x - 48 = 5 ( 2 x - 11 )$