Finite Math Examples

$2.4 > - \frac{m}{5}$

Step 1

Multiply both sides by $5$ .

$2.4 \cdot 5 > - \frac{m}{5} \cdot 5$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Multiply $2.4$ by $5$ .

$12 > - \frac{m}{5} \cdot 5$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Move the leading negative in $- \frac{m}{5}$ into the numerator.

$12 > \frac{- m}{5} \cdot 5$

Step 2.2.1.2

Cancel the common factor.

$12 > \frac{- m}{5} \cdot 5$

Step 2.2.1.3

Rewrite the expression.

$12 > - m$

Step 3

Solve for $m$ .

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Step 3.1

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

$- m < 12$

Step 3.2

Divide each term in $- m < 12$ by $- 1$ and simplify.

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Step 3.2.1

Divide each term in $- m < 12$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- m}{- 1} > \frac{12}{- 1}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Dividing two negative values results in a positive value.

$\frac{m}{1} > \frac{12}{- 1}$

Step 3.2.2.2

Divide $m$ by $1$ .

$m > \frac{12}{- 1}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $12$ by $- 1$ .

$m > - 12$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$m > - 12$

Interval Notation:

$(- 12, \infty)$