CPM Homework Help : CCA2 Problem 6-147

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

Hint:

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

Partial Answer:

One of the inequalities is: $y\le-\frac{3}{4}x+3.$

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).