Solve for k -25>-6k+5

$- 25 > - 6 k + 5$

Step 1

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

$- 6 k + 5 < - 25$

Step 2

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

Subtract $5$ from both sides of the inequality.

$- 6 k < - 25 - 5$

Subtract $5$ from $- 25$ .

$- 6 k < - 30$

Step 3

Divide each term in $- 6 k < - 30$ by $- 6$ and simplify.

Divide each term in $- 6 k < - 30$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 k}{- 6} > \frac{- 30}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 k}{- 6} > \frac{- 30}{- 6}$

Divide $k$ by $1$ .

$k > \frac{- 30}{- 6}$

Simplify the right side.

Divide $- 30$ by $- 6$ .

$k > 5$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$k > 5$

Interval Notation:

$(5, \infty)$

Solve for k -25>-6k+5

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