1. Simplifies to x+2y<6; mark y=3 on the y axis and x=6 on the x axis. These are the intercepts.
2. Simplifies to x+2y>8; mark y=4 on the y axis and x=8 on the x axis. These are the intercepts.
Unfortunately an ad is loading and blocking the system, preventing me from uploading the graph. So I’ll attempt to describe it.
Draw the lines x+2y=6 and x+2y=8. You can use the intercepts from above to draw the lines. Simply draw a line passing through the intercepts for each equation. Shade the area below the line for (1) and above the line for (2). x can be in one of these areas but cannot lie on the lines themselves. The unshaded area including the lines themselves is the no-go area for x.
More to follow (if I can get the graph image to load without interference from ads).