Solve the inequality: -3 + 15x < 222.

1 answer

To solve the inequality \(-3 + 15x < 222\), follow these steps:

  1. Add 3 to both sides of the inequality to isolate the term with \(x\): \[ -3 + 15x + 3 < 222 + 3 \] This simplifies to: \[ 15x < 225 \]

  2. Divide both sides by 15 to solve for \(x\): \[ x < \frac{225}{15} \] Simplifying the right side gives: \[ x < 15 \]

Thus, the solution to the inequality is: \[ \boxed{x < 15} \]