91影视

The given boundary line is $2x-y=4.$We have to write the inequality shown by the shaded region in the graph with the boundary line.

The line $2x-y=4$is the boundary line. On one side of the line are the points with $2x-y>4$and on the other side of the line are the points with$2x-y<4.$

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

At $\left(0,0\right),$which inequality is true:

$$\begin{gathered} 2x-y>4or2x-y<4 \\ 2\left(0\right)-\left(0\right)>4or2\left(0\right)-\left(0\right)<4 \\ 0>4\left[False\right]or0<4\left[True\right] \end{gathered}$$

Since, $2x-y<4$is true, the side of the line with $\left(0,0\right),$is the solution. The shaded region shows the solution to the inequality $2x-y<4.$

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 $2x-y<4.$