Precalculus Examples

$x < 0$ , $- y > 0$

Step 1

Divide each term in $- y > 0$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$x < 0$ and $\frac{- y}{- 1} < \frac{0}{- 1}$

Step 2

Simplify the left side.

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Step 2.1

Dividing two negative values results in a positive value.

$x < 0$ and $\frac{y}{1} < \frac{0}{- 1}$

Step 2.2

Divide $y$ by $1$ .

$x < 0$ and $y < \frac{0}{- 1}$

Step 3

Simplify the right side.

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Step 3.1

Divide $0$ by $- 1$ .

$x < 0$ and $y < 0$

Step 4