**Example 1:**

On the graph in the answer space, shade the region
which satisfies the three inequalities

*y*≥ –*x*+ 10,*y*>*x*and*y*< 9.

*Answer:*

*Solution:*
1. The
region that satisfies the inequality

*y*≥ –*x*+ 10 is the region**on****and****above**the line*y*= –*x*+ 10.
2. The
region that satisfies the inequality

*y*>*x*is the region**above**the line*y*=*x*. Since inequality sign “>” is used, the points on the line*y*=*x*is not included. Thus, a dashed line needs to be drawn for*y*=*x*.
3. The
region that satisfies the inequality

*y*< 9 is the region**below**the line*y*= 9 drawn as a dashed line.**Example 2:**

On the graph in the answer space, shade the region
which satisfies the three inequalities

*y*≥ –2*x*+ 10,*y*≤ 10 and*x*< 5.

*Answer:*

*Solution:*
1. The
region which satisfies the inequality of the form

*y*≥*ax*+*c*is the region that lies**on and above**the line*y*=*ax*+*c*.
2. In
this question,

*y*intercept,*c*= 10,*x*intercept is 5.
3. The
region that satisfies the inequality

*y*≥ –2*x*+ 10 is the region**on****and****above**the line*y*= –2*x*+ 10.
4. The
region that satisfies the inequality

*y*≤ 10 is the region**on and below**the line*y*= 10.
5. The
region that satisfies the inequality

*x*< 5 is on the**left**of the line*x*= 5 drawn as a dashed line.