The solution to the inequality 5 - 8v > 11 - 6v is v < -3 obtained by simplifying and isolating the variable.
To solve the inequality 5 - 8v > 11 - 6v, you need to isolate the variable v. Here are the steps:
1. Combine Like Terms:
Combine the constants on both sides and the variable terms on both sides separately.
5 - 11 > -6v + 8v
2. Simplify:
-6 > 2v
3. Divide by Coefficient:
Divide both sides by the coefficient of v, which is 2. Be careful when dividing by a negative number; it flips the inequality sign.
v < -3
So, the solution to the inequality is v < -3. This means any value of v that is less than -3 satisfies the original inequality.