91影视

We have been given a graph.

We have to write the inequality shown by the graph.We have to write the inequality.

The line y = 3x 鈭� 4 is the boundary line.

On one side of the line are the points with y > 3x 鈭� 4 and on the other side of the line are the points with y < 3x 鈭� 4.

Let鈥檚 test the point (0, 0) and see which inequality describes its side of the boundary line.

At (0, 0) , which inequality is true:

$$\begin{gathered} y>3x鈭�4 \\ 0\stackrel{?}{>}3\left(0\right)-4 \\ 0>-4 \end{gathered}$$ or $$\begin{gathered} y<3x鈭�4 \\ 0\stackrel{?}{<}3\left(0\right)-4 \\ 0鈮�-4 \end{gathered}$$

So the side with (0, 0) is the side where y > 3x - 4 .

We need to find the inequality for the region that does not contain (0,0).

Since the boundary line is graphed as a dashed line, the inequality does not include an equal sign.

The graph shows the solution to the inequality localid="1647602847034" $y<3x-4$.