To find the solution to the system of inequalities y <= 1/4x + 2 and y > 1/2x + 3, we need to determine the overlapping region between the two inequalities.
First, let's graph the lines y = 1/4x + 2 and y = 1/2x + 3.
The line y = 1/4x + 2 is a straight line with a y-intercept of (0, 2) and a slope of 1/4.
The line y =1/2x + 3 is another straight line with a y-intercept of (0, 3) and a slope of 1/2.
Now let's graph both lines on the same coordinate system:
y<=1/4x+2 and y>1/2x+3
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