Finite Math Examples

$3 y + 2 > 0$

Step 1

Solve $y > - \frac{2}{3}$ .

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Step 1.1

Subtract $2$ from both sides of the inequality.

$3 y > - 2$

Step 1.2

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

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Step 1.2.1

Divide each term in $3 y > - 2$ by $3$ .

$\frac{3 y}{3} > \frac{- 2}{3}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $3$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{3 y}{3} > \frac{- 2}{3}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y > \frac{- 2}{3}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Move the negative in front of the fraction.

$y > - \frac{2}{3}$

Step 2

Use the inequality $y > - \frac{2}{3}$ to build the set notation.

${y | y > - \frac{2}{3}}$

Step 3