Basic Math Examples

$\frac{7}{9} y \geq - 6$

Step 1

Multiply each term in $\frac{7}{9} y \geq - 6$ by $\frac{9}{7}$ .

$\frac{7}{9} y \frac{9}{7} \geq - 6 (\frac{9}{7})$

Step 2

Simplify the left side.

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Step 2.1

Combine $\frac{7}{9}$ and $y$ .

$\frac{7 y}{9} \cdot \frac{9}{7} \geq - 6 (\frac{9}{7})$

Step 2.2

Cancel the common factor of $7$ .

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Step 2.2.1

Factor $7$ out of $7 y$ .

$\frac{7 (y)}{9} \cdot \frac{9}{7} \geq - 6 (\frac{9}{7})$

Step 2.2.2

Cancel the common factor.

$\frac{7 y}{9} \cdot \frac{9}{7} \geq - 6 (\frac{9}{7})$

Step 2.2.3

Rewrite the expression.

$\frac{y}{9} \cdot 9 \geq - 6 (\frac{9}{7})$

Step 2.3

Cancel the common factor of $9$ .

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Step 2.3.1

Cancel the common factor.

$\frac{y}{9} \cdot 9 \geq - 6 (\frac{9}{7})$

Step 2.3.2

Rewrite the expression.

$y \geq - 6 (\frac{9}{7})$

Step 3

Simplify the right side.

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Step 3.1

Multiply $- 6 (\frac{9}{7})$ .

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Step 3.1.1

Combine $- 6$ and $\frac{9}{7}$ .

$y \geq \frac{- 6 \cdot 9}{7}$

Step 3.1.2

Multiply $- 6$ by $9$ .

$y \geq \frac{- 54}{7}$

Step 3.2

Move the negative in front of the fraction.

$y \geq - \frac{54}{7}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y \geq - \frac{54}{7}$

Interval Notation:

$[- \frac{54}{7}, \infty)$