Question

Which correctly describes how the graph of the inequality 6y − 3x > 9 is shaded? A. Above the solid line B. Below the solid line C. Above the dashed line D. Below the dashed line

Answer 1

Answer:

The correct option is C.

Step-by-step explanation:

The given inequality is

$6y-3x>9$

Isolate y on the left side in the above inequality.

$6y>9+3x$

$y>\frac{9+3x}{6}$

$y>\frac{3}{2}+\frac{x}{2}$

If an inequality is defined as $y\geq mx+b$, then the shaded region is above the solid line.

If an inequality is defined as $y\leq mx+b$, then the shaded region is below the solid line.

If an inequality is defined as $y>mx+b$, then the shaded region is above the dashed line.

If an inequality is defined as $y$, then the shaded region is below the dashed line.

Since the sign of inequality is >, therefore the shaded region is above the dashed line.

Hence option C is correct.

Answer 2

C. Above the dashed line.

It becomes:
y > 1/2x +3/2

(Dashed, shaded above)