Finite Math Examples

$y - x < 4$

Step 1

Subtract $y$ from both sides of the inequality.

$- x < 4 - y$

Step 2

Divide each term in $- x < 4 - y$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- x < 4 - y$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} > \frac{4}{- 1} + \frac{- y}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} > \frac{4}{- 1} + \frac{- y}{- 1}$

Step 2.2.2

Divide $x$ by $1$ .

$x > \frac{4}{- 1} + \frac{- y}{- 1}$

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 $4$ by $- 1$ .

$x > - 4 + \frac{- y}{- 1}$

Step 2.3.1.2

Dividing two negative values results in a positive value.

$x > - 4 + \frac{y}{1}$

Step 2.3.1.3

Divide $y$ by $1$ .

$x > - 4 + y$