Find a system of inequalities to describe the given region.
-Points inside the triangle that has vertices (0, 0) , (0, 8) , and (2, 0) .

Question

Find a system of inequalities to describe the given region. -Points inside the triangle that has vertices (0, 0), (0, 8), and (2, 0). A) x > 0, y > 0, y < 4x + 8 B) x > 0, y > 0, y < - 4x + 8 C) x > 0, y > 0, y < - 4x + 2 D) x > 0, y > 0, y > - 4x + 8

Quizplus · Accepted Answer

The triangle is in the first quadrant, so x > 0 and y > 0. The line passing through (0, 8) and (2, 0) has a slope of (0-8)/(2-0) = -4, and its equation is y = -4x + 8, so points inside the triangle must satisfy y < -4x + 8.

Find a System of Inequalities to Describe the Given Region