Solve the Inequality for n -n/50>22

$- \frac{n}{50} > 22$

Step 1

Divide each term in $- \frac{n}{50} > 22$ by $- 1$ and simplify.

Divide each term in $- \frac{n}{50} > 22$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{n}{50}}{- 1} < \frac{22}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{n}{50}}{1} < \frac{22}{- 1}$

Divide $\frac{n}{50}$ by $1$ .

$\frac{n}{50} < \frac{22}{- 1}$

Simplify the right side.

Divide $22$ by $- 1$ .

$\frac{n}{50} < - 22$

Step 2

Multiply both sides by $50$ .

$\frac{n}{50} \cdot 50 < - 22 \cdot 50$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $50$ .

Cancel the common factor.

$\frac{n}{50} \cdot 50 < - 22 \cdot 50$

Rewrite the expression.

$n < - 22 \cdot 50$

Simplify the right side.

Multiply $- 22$ by $50$ .

$n < - 1100$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$n < - 1100$

Interval Notation:

$(- \infty, - 1100)$

Solve the Inequality for n -n/50>22

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