Evaluate xy>0

$x y > 0$

Step 1

Divide each term in $x y > 0$ by $y$ .

$\frac{x y}{y} > \frac{0}{y}$

Step 2

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{x y}{y} > \frac{0}{y}$

Divide $x$ by $1$ .

$x > \frac{0}{y}$

$x > \frac{0}{y}$

$x > \frac{0}{y}$

Step 3

Simplify the right side.

Divide $0$ by $y$ .

$x > 0$

$x > 0$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 0$

Interval Notation:

$(0, \infty)$

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