Solve the Inequality for r 12>60-6r

$12 > 60 - 6 r$

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

$60 - 6 r < 12$

Move all terms not containing $r$ to the right side of the inequality.

Subtract $60$ from both sides of the inequality.

$- 6 r < 12 - 60$

Subtract $60$ from $12$ .

$- 6 r < - 48$

Divide each term in $- 6 r < - 48$ by $- 6$ and simplify.

Divide each term in $- 6 r < - 48$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 r}{- 6} > \frac{- 48}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 r}{- 6} > \frac{- 48}{- 6}$

Divide $r$ by $1$ .

$r > \frac{- 48}{- 6}$

Simplify the right side.

Divide $- 48$ by $- 6$ .

$r > 8$

The result can be shown in multiple forms.

Inequality Form:

$r > 8$

Interval Notation:

$(8, \infty)$

Solve the Inequality for r 12>60-6r

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