Solve the Inequality for m 4.5>-m/6

$4.5 > - \frac{m}{6}$

Step 1

Multiply both sides by $6$ .

$4.5 \cdot 6 > - \frac{m}{6} \cdot 6$

Step 2

Simplify.

Simplify the left side.

Multiply $4.5$ by $6$ .

$27 > - \frac{m}{6} \cdot 6$

Simplify the right side.

Cancel the common factor of $6$ .

Move the leading negative in $- \frac{m}{6}$ into the numerator.

$27 > \frac{- m}{6} \cdot 6$

Cancel the common factor.

$27 > \frac{- m}{6} \cdot 6$

Rewrite the expression.

$27 > - m$

Step 3

Solve for $m$ .

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

$- m < 27$

Divide each term in $- m < 27$ by $- 1$ and simplify.

Divide each term in $- m < 27$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- m}{- 1} > \frac{27}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{m}{1} > \frac{27}{- 1}$

Divide $m$ by $1$ .

$m > \frac{27}{- 1}$

Simplify the right side.

Divide $27$ by $- 1$ .

$m > - 27$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$m > - 27$

Interval Notation:

$(- 27, \infty)$

Solve the Inequality for m 4.5>-m/6

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