Math  /  Geometry

Question16 Beskriv det färgade området med en olikhet.

Studdy Solution
The shaded area is below the line and above the x-axis and y-axis. This means we need an inequality that represents all the points (x,y)(x, y) that are below the line y=x+15 y = -x + 15 and above the axes.
The inequality for the shaded region is:
yx+15 y \leq -x + 15
Additionally, since the shaded region is bounded by the x-axis and y-axis, we also have:
x0 x \geq 0 y0 y \geq 0
Thus, the complete set of inequalities describing the shaded area is:
yx+15 y \leq -x + 15 x0 x \geq 0 y0 y \geq 0
The inequality that describes the shaded area is:
yx+15,x0,y0 y \leq -x + 15, \quad x \geq 0, \quad y \geq 0

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