Explanation:
Let's find the equation of the line first.
x + 2y = 4
2y = -x + 4
y = -1/2 x + 2
Graph this line first. Now, we have to find which side of the line we will shade. Let's plug in (0, 0) to the original inequality. We get 0 + 0 ≤ 4, which is a true statement, so we will shade below the line. We will keep the line solid because the comparison is ≤, meaning all the points on the line are also solutions to the inequality. Hope this helps!