- Graphing Circular Inequalities, Graphing Linear InequalitiesChoice K
$x+2y=6$ is rearranged to be $y=-\frac{1}{2}x+3$.

Since the slope is negative, we eliminate Choice J.

And it intersects the y axis on (0, 3).

$$ =>3x^2+3y^2>12 $$

$$ =>r=\sqrt{4}=2 $$

Therefore, Choice F is eliminated.

Plug in (0, 0) into $3x^2+3y^2>12$ and the inequality fails, therefore

**the shaded area must be outside of the circle**. Choice G is eliminated.Plug in (0, 0) into $x+2y ≤ 6$ and the inequality succeeds, therefore

**the shaded area must cover (0, 0)**. Choice K is correct.## Skills you are tested for:

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