Solve: -1.5x + 2.25 > 15.75

Answer 1

To solve the inequality \(-1.5x + 2.25 > 15.75\), follow these steps:

1. Subtract 2.25 from both sides:

   \(-1.5x + 2.25 - 2.25 > 15.75 - 2.25\)

   This simplifies to:

   \(-1.5x > 13.5\)

2. Divide both sides by -1.5: Remember that when you divide or multiply an inequality by a negative number, you need to reverse the inequality sign.

   \(\frac{-1.5x}{-1.5} < \frac{13.5}{-1.5}\)

   This simplifies to:

   \(x < -9\)

The solution to the inequality is \(x < -9\).