1. The problem is to understand and analyze the inequality $y \geq 4x - 3$. 2. This inequality represents all points $(x,y)$ on or above the line $y = 4x - 3$. 3. The line equation is $y = 4x - 3$, where the slope is 4 and the y-intercept is -3. 4. To graph or analyze, first plot the line $y = 4x - 3$. 5. Since the inequality is $y \geq 4x - 3$, the solution includes the line and the region above it. 6. This means for any $x$, $y$ must be greater than or equal to $4x - 3$. 7. The boundary line is solid because the inequality includes equality ($\geq$). 8. Example: For $x=0$, $y \geq -3$; for $x=1$, $y \geq 1$. 9. This inequality describes a half-plane in the coordinate plane. Final answer: The solution set is all points $(x,y)$ such that $y \geq 4x - 3$.