Finite Math Examples

$3 y - 4 x > 12$

Step 1

Subtract $3 y$ from both sides of the inequality.

$- 4 x > 12 - 3 y$

Step 2

Divide each term in $- 4 x > 12 - 3 y$ by $- 4$ and simplify.

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Step 2.1

Divide each term in $- 4 x > 12 - 3 y$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 x}{- 4} < \frac{12}{- 4} + \frac{- 3 y}{- 4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 4 x}{- 4} < \frac{12}{- 4} + \frac{- 3 y}{- 4}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x < \frac{12}{- 4} + \frac{- 3 y}{- 4}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $12$ by $- 4$ .

$x < - 3 + \frac{- 3 y}{- 4}$

Step 2.3.1.2

Dividing two negative values results in a positive value.

$x < - 3 + \frac{3 y}{4}$