7. Solve \( 12-\frac{3}{5} x>39 \)

To solve the inequality \( 12 - \frac{3}{5} x > 39 \), start by isolating the term with \( x \). Subtract 12 from both sides to get: \[ -\frac{3}{5} x > 39 - 12 \] This simplifies to: \[ -\frac{3}{5} x > 27 \] Next, multiply both sides by -1, remembering to flip the inequality sign: \[ \frac{3}{5} x < -27 \] Now, to isolate \( x \), multiply both sides by \(\frac{5}{3}\) (which is positive so the inequality remains the same): \[ x < -27 \cdot \frac{5}{3} \] This gives us: \[ x < -45 \] So, the solution to the inequality is \( x < -45 \). Fun fact: Inequalities are like a game of tug-of-war—whenever you multiply or divide by a negative number, you have to flip the inequality, just like turning the game around when the other side takes control!