Problem

Graph the inequality subject to the nonnnegative restrictions. \[ 21 x-30 y<0, x \geq 0, y \geq 0 \]

Solution

Step 1 :First, we rewrite the inequality as $y > \frac{21}{30}x$, subject to the nonnegative restrictions $x \geq 0$ and $y \geq 0$.

Step 2 :Next, we graph the line $y = \frac{21}{30}x$ in the first quadrant, since $x \geq 0$ and $y \geq 0$.

Step 3 :Finally, we shade the region above the line $y = \frac{21}{30}x$, since the inequality is $y > \frac{21}{30}x$. The shaded region represents the solution to the inequality subject to the nonnegative restrictions.

From Solvely APP
Source: https://solvelyapp.com/problems/15620/

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