Pre-Algebra Examples

$y > \sqrt{3 x - 9}$

Step 1

Factor $3$ out of $3 x - 9$ .

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Step 1.1

Factor $3$ out of $3 x$ .

$y > \sqrt{3 (x) - 9}$

Step 1.2

Factor $3$ out of $- 9$ .

$y > \sqrt{3 x + 3 \cdot - 3}$

Step 1.3

Factor $3$ out of $3 x + 3 \cdot - 3$ .

$y > \sqrt{3 (x - 3)}$

Step 2

The equation is not linear, so a constant slope does not exist.

Not Linear

Step 3

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $\sqrt{3 (x - 3)}$ .

$y > \sqrt{3 (x - 3)}$

Step 4