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