ssify-the-equation-2x-4-x-2-x-3-2x-1-what-is-the-classification-and-solution-set

Question

Simplify the following equation and classify it as an identity, a conditional equation, or a contradiction. State its solution set.2x+4−(x+2)=x+3−(2x−1)2x + 4 - (x + 2) = x + 3 - (2x - 1)

Accepted Answer

Conditional. The solution set is {1}\left\lbrace1\right\rbrace.

Answer

Contradiction. No solutions, because simplification leads to a false numeric statement 2=02 = 0.

Answer

Conditional. The solution set is {0}\left\lbrace0\right\rbrace.

Answer

Identity. All real numbers satisfy the equation.