- \( 5 x+9-x \leq 6-2 x \)

To solve the inequality \( 5x + 9 - x \leq 6 - 2x \), start by simplifying the left side. Combine like terms: \( 4x + 9 \leq 6 - 2x \). Next, add \( 2x \) to both sides to isolate \( x \): \( 4x + 2x + 9 \leq 6 \), which simplifies to \( 6x + 9 \leq 6 \). Now, subtract 9 from both sides: \( 6x \leq -3 \). Finally, divide by 6: \( x \leq -\frac{1}{2} \). So, the solution set includes all values of \( x \) that are less than or equal to -0.5. --- Using a step-by-step approach makes solving inequalities a breeze, but make sure to keep an eye out for signs when multiplying or dividing by a negative number, as that changes the direction of the inequality. These small slips can trip you up when you're racing towards the finish line! If you’re interested in brushing up on inequalities, consider diving into algebraic tricks, such as balancing equations or mastering the properties of inequalities—you'll be handling these like a pro in no time!