For a graphed linear inequality, the shaded side shows the solutions. A dashed boundary line does not count. Compare an ordered pair with the line at the same -value; a point that touches the line is different from one inside the shading. Since the graph is already drawn, you can read it directly without redrawing it in Desmos.
Hints
- Hint 1
An ordered pair gives a horizontal position and a vertical position . At the same horizontal position, is the point above or below the line?
- Hint 2
A boundary line separates the two sides of the graph. When it's dashed, points directly on it don't count, even if they appear to touch the shading.
Step-by-step
Read the shaded graph
Step 1Find the side that works
No Desmos needed. The graph already shows the solutions. The shaded region is above the line, so a solution must be above it.
- Step 2
Check whether the line counts
At , the line passes through . Because the boundary line is dashed, its points are excluded. Touching the shading isn't enough.
- Step 3
Locate a point in the shading
At , the line has . The ordered pair has , and , so it's above the line in the shaded region. The solution is . Choice B.