Finite Math Examples

$2 x < 3 y - 15$

Step 1

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

$3 y - 15 > 2 x$

Step 2

Add $15$ to both sides of the inequality.

$3 y > 2 x + 15$

Step 3

Divide each term in $3 y > 2 x + 15$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 y > 2 x + 15$ by $3$ .

$\frac{3 y}{3} > \frac{2 x}{3} + \frac{15}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 y}{3} > \frac{2 x}{3} + \frac{15}{3}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y > \frac{2 x}{3} + \frac{15}{3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $15$ by $3$ .

$y > \frac{2 x}{3} + 5$