183k views
5 votes
Graph the inequality on a plane. (Click to shade a region below or above the line).-4x-2y > - 8yPls see pictures

Graph the inequality on a plane. (Click to shade a region below or above the line-example-1
User Traver
by
5.2k points

1 Answer

3 votes

See graph below

Step-by-step explanation:

To plt the graph, first let's write the inequality with y as the subject of formula:


\begin{gathered} \text{Add 4x to both sides} \\ -4x+4x-2y\text{ }\ge\text{ 4x - 8 + 4x} \\ -2y\text{ }\ge\text{ 4x - 8} \\ \\ \text{divide thorough by -2:} \\ y\text{ }\le\text{ 4x/-2 -8/-2 (sign changes when an inequality is divided by a negative number)} \\ y\text{ }\le\text{ -2x +4} \end{gathered}

From the equation above:

when we plot the graph, the part will be shaded such that it towards the neagative side of y axis. This is because the sign after y has less

The equal sign attached will show the line is thick and not dashed

plotting the graph:

Graph the inequality on a plane. (Click to shade a region below or above the line-example-1
User PATRY Guillaume
by
4.6k points