Finite Math Examples

$- 3 y < - 2 x - 18$

Step 1

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

$- 2 x - 18 > - 3 y$

Step 2

Add $18$ to both sides of the inequality.

$- 2 x > - 3 y + 18$

Step 3

Divide each term in $- 2 x > - 3 y + 18$ by $- 2$ and simplify.

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Step 3.1

Divide each term in $- 2 x > - 3 y + 18$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} < \frac{- 3 y}{- 2} + \frac{18}{- 2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} < \frac{- 3 y}{- 2} + \frac{18}{- 2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x < \frac{- 3 y}{- 2} + \frac{18}{- 2}$

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

Dividing two negative values results in a positive value.

$x < \frac{3 y}{2} + \frac{18}{- 2}$

Step 3.3.1.2

Divide $18$ by $- 2$ .

$x < \frac{3 y}{2} - 9$