Pre-Algebra Examples

$y x < 6$

Step 1

Divide each term in $y x < 6$ by $x$ and simplify.

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Step 1.1

Divide each term in $y x < 6$ by $x$ .

$\frac{y x}{x} < \frac{6}{x}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $x$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{y x}{x} < \frac{6}{x}$

Step 1.2.1.2

Divide $y$ by $1$ .

$y < \frac{6}{x}$

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 below the boundary line since $y$ is less than $\frac{6}{x}$ .

$y < \frac{6}{x}$

Step 4