Answer:
Graph Attached.
Step-by-step explanation:
Given: [tex]4x+2y\leq 6[/tex]
We need to draw the graph of linear inequality.
First we write inequality as equality and then make table of x and y
New equation: [tex]4x+2y=6[/tex]
x y
0 3
1 1
2 -1
Now, we take test point (0,0) to verify the shaded region.
[tex]4(0)+2(y)\leq 6[/tex]
[tex]0\leq 6[/tex]
TRUE
Now we plot the points on graph and then draw graph.
Please see the attachment for graph.
