Finite Math Examples

$- x + 4 y > 7$

Step 1

Subtract $4 y$ from both sides of the inequality.

$- x > 7 - 4 y$

Step 2

Divide each term in $- x > 7 - 4 y$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- x > 7 - 4 y$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} < \frac{7}{- 1} + \frac{- 4 y}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} < \frac{7}{- 1} + \frac{- 4 y}{- 1}$

Step 2.2.2

Divide $x$ by $1$ .

$x < \frac{7}{- 1} + \frac{- 4 y}{- 1}$

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 $7$ by $- 1$ .

$x < - 7 + \frac{- 4 y}{- 1}$

Step 2.3.1.2

Move the negative one from the denominator of $\frac{- 4 y}{- 1}$ .

$x < - 7 - 1 \cdot (- 4 y)$

Step 2.3.1.3

Rewrite $- 1 \cdot (- 4 y)$ as $- (- 4 y)$ .

$x < - 7 - (- 4 y)$

Step 2.3.1.4

Multiply $- 4$ by $- 1$ .

$x < - 7 + 4 y$