Graph the inequality.
y < −x + 3

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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