Math  /  Geometry

Question8) y34x+5y \leq \frac{3}{4} x+5

Studdy Solution
Determine the shading region for the inequality y34x+5 y \leq \frac{3}{4}x + 5 .
- Since the inequality is \leq , shade the region below the line. - You can test a point not on the line, such as (0,0) (0, 0) . Substitute into the inequality: 034(0)+5 0 \leq \frac{3}{4}(0) + 5 , which simplifies to 05 0 \leq 5 . This is true, so the region containing (0,0) (0, 0) is the correct side to shade.
The graph of the inequality y34x+5 y \leq \frac{3}{4}x + 5 is complete with the boundary line drawn and the appropriate region shaded.

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