Question

which inequality has a solid boundary line when graphed?
$y < \frac{1}{9}x + 9$
$y \geq 9x + 9$
$y < -x - 9$
$y > -\frac{1}{9}x$

Explanation:

Step1: Recall boundary line rules

Inequalities with $\leq$ or $\geq$ use solid lines; $<$ or $>$ use dashed lines.

Step2: Analyze each option

• $y < \frac{1}{9}x + 9$: Uses $<$, dashed line.
• $y \geq 9x + 9$: Uses $\geq$, solid line.
• $y < -x - 9$: Uses $<$, dashed line.
• $y > -\frac{1}{9}x$: Uses $>$, dashed line.

Answer:

$y \geq 9x + 9$