Graph showing the positive x-axis, the y-axis and the four points (0,1), C(1,0), B(2,-1), and A(0,-1). The line from (0,1) to B and AB are both drawn. The trapezium ABCO is shaded.

\(O\) is the origin and \(A\), \(B\) and \(C\) are the points \((0,-1)\), \((2,-1)\) and \((1,0)\) respectively. Write down the four inequalities which define the shaded region \(ABCO\) including its boundary.

Can you find the equations of the four lines that bound the shaded area? How can you use these four equations to answer the original question?