1. **State the problem:** We are given the inequality $y \le 2x - 3$ and need to understand its meaning and graph. 2. **Explain the inequality:** This inequality means that the value of $y$ is less than or equal to the value of the expression $2x - 3$ for any $x$. 3. **Formula and rules:** The boundary line is given by the equation $y = 2x - 3$. 4. **Graph interpretation:** The line $y = 2x - 3$ divides the plane into two regions. The inequality $y \le 2x - 3$ includes all points on the line and all points below it. 5. **Check a test point:** For example, at $x=0$, $y \le 2(0) - 3 = -3$. So points with $y \le -3$ when $x=0$ satisfy the inequality. 6. **Summary:** The solution set is all points $(x,y)$ such that $y$ is less than or equal to $2x - 3$. Final answer: The inequality $y \le 2x - 3$ represents all points on or below the line $y = 2x - 3$.