Final answer:
To sketch the solution to the system of inequalities, we can start by sketching the lines and shading the regions based on the inequality symbols.
Step-by-step explanation:
To sketch the solution to the system of inequalities y ≤ ½x - 2 and y < &#frac52;x + 2, we can start by sketching the line y = ½x - 2 as a solid line with a slope of ½ and a y-intercept of -2. Since the inequality is ≤, we will shade the region below the line. Next, we sketch the line y = &#frac52;x + 2 as a dashed line with a slope of &#frac52; and a y-intercept of 2. Since the inequality is <, we will shade the region below the dashed line. The solution to the system is the shaded region that is common to both inequalities.