Solve the inequality for v. 9v-305v-6 Simplify your answer as much as possible.

3 answers

To solve the inequality \( 9v - 305v - 6 \), we first combine like terms.

  1. Combine the coefficients of \( v \): \[ 9v - 305v = -296v \]

  2. This simplifies the inequality to: \[ -296v - 6 < 0 \] (assuming this is meant to be less than zero)

  3. Next, we want to isolate \( v \). First, add 6 to both sides: \[ -296v < 6 \]

  4. Now, divide both sides by -296. Remember, dividing by a negative number reverses the inequality sign: \[ v > \frac{6}{-296} \]

  5. Simplify \( \frac{6}{-296} \): \[ \frac{6}{-296} = \frac{3}{-148} = -\frac{3}{148} \]

  6. Thus, the final simplified solution to the inequality is: \[ v > -\frac{3}{148} \]

In conclusion, \( v > -\frac{3}{148} \).

thats wrong

I apologize for any confusion in my previous response. Let's solve the inequality \(9v - 305v - 6 < 0\) step-by-step again.

  1. Combine like terms: \[ 9v - 305v = -296v \] So the inequality becomes: \[ -296v - 6 < 0 \]

  2. Add 6 to both sides: \[ -296v < 6 \]

  3. Divide both sides by -296: Remember that dividing by a negative number reverses the inequality sign. \[ v > \frac{6}{-296} \] Simplifying \(\frac{6}{-296}\): \[ v > -\frac{3}{148} \]

Therefore, the correct solution to the inequality is: \[ v > -\frac{3}{148} \]

If this is not what you were looking for, please clarify the inequality or specify the problem, and I'll be happy to assist further!