The graph is attached below.
- The given inequality is:
- y < -x + 3
- On rearranging,
- x + y < 3
- To graph the inequality, first of all, we need to draw the corresponding equation of line on the graph.
- The corresponding equation of a line for an inequality can be found by replacing the less than or greater than sign with an equal to sign.
- The corresponding equation for the given inequality is:
- x + y = 3
- The two points which satisfy the above equation of line are (0, 3) and (3, 0).
- Plot the line on the graph.
- Now, put the coordinates of the origin into the inequality.
- If the inequality holds true, then shade the area from the line towards the origin and vice versa.
- Thus, the graph of the inequality is obtained.
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