Algebra Examples

$y \leq \sqrt{2 x + 4} - 3$

Step 1

Factor $2$ out of $2 x + 4$ .

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Step 1.1

Factor $2$ out of $2 x$ .

$y \leq \sqrt{2 (x) + 4} - 3$

Step 1.2

Factor $2$ out of $4$ .

$y \leq \sqrt{2 x + 2 \cdot 2} - 3$

Step 1.3

Factor $2$ out of $2 x + 2 \cdot 2$ .

$y \leq \sqrt{2 (x + 2)} - 3$

Step 2

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

Not Linear

Step 3

Graph a solid line, then shade the area below the boundary line since $y$ is less than $\sqrt{2 (x + 2)} - 3$ .

$y \leq \sqrt{2 (x + 2)} - 3$

Step 4