Question

Can someone help me with this? Please and thank you!

Answer 1

Given the inequality:

`y>-2x+3`

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

`\begin{gathered} y=-2(0)+3 \\ y=3 \end{gathered}`

When x = 2:

`\begin{gathered} y=-2(2)+3 \\ y=-4+3 \\ y=-1 \end{gathered}`

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