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Home > CCA2 > Chapter 6 > Lesson 6.2.4 > Problem 6-147

6-147.

Write a system of inequalities that could be represented by the graph at right.

Start by finding an equation for each line, and then test points to determine which inequality to use.

One of the inequalities is: 

4 lines, enclosing a shaded parallelogram. 2 lines are vertical, at x, = negative 3, and at x, = 3. 2 lines are decreasing, top passes through the points (negative 4, comma 6) & (0, comma 3). Bottom line passes through (negative 4, comma 0), & (0, comma negative 3).