Solve for k 0<-10k+5k

$0 < - 10 k + 5 k$

Step 1

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

$- 10 k + 5 k > 0$

Step 2

Add $- 10 k$ and $5 k$ .

$- 5 k > 0$

Step 3

Divide each term in $- 5 k > 0$ by $- 5$ and simplify.

Divide each term in $- 5 k > 0$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 k}{- 5} < \frac{0}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 k}{- 5} < \frac{0}{- 5}$

Divide $k$ by $1$ .

$k < \frac{0}{- 5}$

Simplify the right side.

Divide $0$ by $- 5$ .

$k < 0$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$k < 0$

Interval Notation:

$(- \infty, 0)$

Solve for k 0<-10k+5k

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