Answer: To graph the intersection of 2x - 4y < 8, we first need to rewrite the inequality in slope-intercept form (y = mx + b):
2x - 4y < 8
-4y < -2x + 8
y > (1/2)x - 2
The inequality is now in slope-intercept form, with a slope of 1/2 and a y-intercept of -2. To graph the solution, we first draw the boundary line y = (1/2)x - 2 as a dashed line (since the inequality is strict):
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Next, we shade the region above the boundary line, since the inequality is y > (1/2)x - 2:
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The shaded region represents the solution to the inequality 2x - 4y < 8. Note that the boundary line is not included in the solution, since the inequality is strict (less than, not less than or equal to).
Explanation: