Desmos Tricks

Inequality Shading

Visually solve complex systems of inequalities in seconds.

πŸ—ΊοΈ Visualizing Solutions

Best for: Identifying solution regions instantly.

πŸ“ SAT Problem

The solution to the system y > 2x + 1 and y < -x + 5 contains points in every quadrant EXCEPT:

(A) Quadrant I
(B) Quadrant II
(C) Quadrant III
(D) Quadrant IV

Step 1: Graph the Inequalities

Type both equations into Desmos. Look for the overlapping shaded region (usually purple or darker color).

Desmos Inequality Shading

Step 2: Check Quadrants

The shaded region exists in Top-Right (I), Top-Left (II), and Bottom-Left (III).

It never crosses into the Bottom-Right (IV).

βœ… Final Answer:

Quadrant IV (Choice D)

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