Finite Math Examples

$4 y > - x + 28$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$- x + 28 < 4 y$

Step 2

Subtract $28$ from both sides of the inequality.

$- x < 4 y - 28$

Step 3

Divide each term in $- x < 4 y - 28$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- x < 4 y - 28$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} > \frac{4 y}{- 1} + \frac{- 28}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} > \frac{4 y}{- 1} + \frac{- 28}{- 1}$

Step 3.2.2

Divide $x$ by $1$ .

$x > \frac{4 y}{- 1} + \frac{- 28}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

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

$x > - 1 \cdot (4 y) + \frac{- 28}{- 1}$

Step 3.3.1.2

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

$x > - (4 y) + \frac{- 28}{- 1}$

Step 3.3.1.3

Multiply $4$ by $- 1$ .

$x > - 4 y + \frac{- 28}{- 1}$

Step 3.3.1.4

Divide $- 28$ by $- 1$ .

$x > - 4 y + 28$