Question

answer 5 points
the line will be drawn once all required data is provided and will update whenever a value is updated. the regions will be added once the line is drawn.
6y ≤ -5x + 30
choose the type of boundary line:
solid (—)
dashed (---)
enter two points on the boundary line:
( , )( , )
select the region you wish to be shaded:
○a
○b
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Explanation:

Step1: Analyze the inequality symbol

The inequality is $6y\leq - 5x + 30$. Since the symbol is $\leq$, the boundary - line will be solid.

Step2: Find two points on the boundary line

Rewrite the inequality as an equation $6y=-5x + 30$ or $y=-\frac{5}{6}x + 5$.
When $x = 0$, $y=5$. So one point is $(0,5)$.
When $y = 0$, $0=-\frac{5}{6}x+5$, then $\frac{5}{6}x = 5$, and $x = 6$. So another point is $(6,0)$.

Step3: Determine the shaded region

We can test a point not on the line, say $(0,0)$. Substitute into the inequality: $6\times0\leq-5\times0 + 30$, which is $0\leq30$ (true). So the region containing the origin $(0,0)$ should be shaded.

Answer:

Choose the type of boundary line: Solid (—)
Enter two points on the boundary line: $(0,5),(6,0)$
Select the region you wish to be shaded: The region containing the origin (for example, if we assume region A contains the origin and region B does not, then select A)