Solve the inequality for x. -17<6x+7 Simplify your answer as much as possible.

Answer 1

To solve the inequality \(-17 < 6x + 7\), we can follow these steps:

1. Isolate the term with \(x\): First, we need to get rid of the constant on the right side by subtracting 7 from both sides.

   \[ -17 - 7 < 6x \]

   Simplifying the left side:

   \[ -24 < 6x \]

2. Divide by 6: Next, we divide both sides of the inequality by 6. Since we are dividing by a positive number, the direction of the inequality remains the same.

   \[ \frac{-24}{6} < x \]

   Simplifying further gives:

   \[ -4 < x \]

3. Rewrite the inequality: We can rewrite the inequality as:

   \[ x > -4 \]

Thus, the solution to the inequality is

\[ \boxed{x > -4} \]