Solve the inequality: 18 < -4x + 28.

Answer 1

To solve the inequality \( 18 < -4x + 28 \), we will isolate \( x \). Here are the steps:

1. Subtract 28 from both sides: \[ 18 - 28 < -4x \] \[ -10 < -4x \]

2. Divide both sides by -4. Remember that when we divide by a negative number, we flip the inequality sign: \[ \frac{-10}{-4} > x \] \[ 2.5 > x \] or \[ x < 2.5 \]

Thus, the solution to the inequality is: \[ x < 2.5 \]