Graph the linear inequality by shading the feasability region

Question

y<(or=)x/2+1

Answer 1

The linear inequality is .

The graph of the inequality  is the shaded region, where every point in the shaded region satisfies the inequality.

Since the inequality symbol is , the boundary is drawn as a solid line to show that points on the line satisfies the inequality.

Consider a test point: .

The statement is true.

Since the statement is true, shade the region containing the point .

Graph:

Graph the inequality .

Shade the required region.