Question

determine whether the equation is a conditional equation, an identity, or a contradiction. give the solution set
6(v + 1) - 2v = 2(2v + 2) - 8
is the equation a conditional equation, an identity, or a contradiction?
a. contradiction
b. conditional equation
c. identity

Explanation:

Step1: Simplify left side

Simplify \(6(v + 1)-2v\). Distribute 6: \(6v+6 - 2v\). Combine like terms: \(4v + 6\).

Step2: Simplify right side

Simplify \(2(2v + 2)-8\). Distribute 2: \(4v+4 - 8\). Combine like terms: \(4v - 4\).

Step3: Compare both sides

Left side: \(4v + 6\), Right side: \(4v - 4\). Subtract \(4v\) from both sides: \(6=-4\), which is false.

Answer:

A. contradiction