Given the inequality:
[tex]y>-2x+3[/tex]
Let's graph the inequality.
To graph, the inequality, let's use two points.
• When x = 0:
Substitute 0 for x and solve for y
[tex]\begin{gathered} y=-2(0)+3 \\ y=3 \end{gathered}[/tex]
When x = 2:
[tex]\begin{gathered} y=-2(2)+3 \\ y=-4+3 \\ y=-1 \end{gathered}[/tex]
THus, we have the points:
(x, y) ==> (0, 3), and (2, -1)
Plot the points on the graph.
Since y is greater than, draw dashed lines connecting the points, then shade the area above the boundary line.
Thus, we have the graph below:
Therefore, the correct graph is graph D.
ANSWER:
D. Graph D
