Finite Math Examples

$y < - 5 x - 3$

Step 1

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

$- 5 x - 3 > y$

Step 2

Add $3$ to both sides of the inequality.

$- 5 x > y + 3$

Step 3

Divide each term in $- 5 x > y + 3$ by $- 5$ and simplify.

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Step 3.1

Divide each term in $- 5 x > y + 3$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 x}{- 5} < \frac{y}{- 5} + \frac{3}{- 5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} < \frac{y}{- 5} + \frac{3}{- 5}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x < \frac{y}{- 5} + \frac{3}{- 5}$

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 in front of the fraction.

$x < - \frac{y}{5} + \frac{3}{- 5}$

Step 3.3.1.2

Move the negative in front of the fraction.

$x < - \frac{y}{5} - \frac{3}{5}$