Solve the Inequality for C 105+256C>=1000

$105 + 256 C \geq 1000$

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

Subtract $105$ from both sides of the inequality.

$256 C \geq 1000 - 105$

Subtract $105$ from $1000$ .

$256 C \geq 895$

Divide each term in $256 C \geq 895$ by $256$ and simplify.

Divide each term in $256 C \geq 895$ by $256$ .

$\frac{256 C}{256} \geq \frac{895}{256}$

Simplify the left side.

Cancel the common factor of $256$ .

Cancel the common factor.

$\frac{256 C}{256} \geq \frac{895}{256}$

Divide $C$ by $1$ .

$C \geq \frac{895}{256}$

The result can be shown in multiple forms.

Inequality Form:

$C \geq \frac{895}{256}$

Interval Notation:

$[\frac{895}{256}, \infty)$