Question
Solve graphically: x ≤ 0 and y ≥ 0
Consider the lines whose equation are x = 0, y = 0.
These represents the equations of Y-axis and X-axis respectively, which divide the plane into four parts.
Since x ≤ 0, y ≥ 0, the solution set is in the first quadrant which is shaded in the graph.

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plane $\bar{r} \cdot(6 \hat{i}+8 \hat{j}+7 \hat{k})=0$