Solve the Inequality for n 8-1/4n>=20

$8 - \frac{1}{4} n \geq 20$

Combine $n$ and $\frac{1}{4}$ .

$8 - \frac{n}{4} \geq 20$

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

Subtract $8$ from both sides of the inequality.

$- \frac{n}{4} \geq 20 - 8$

Subtract $8$ from $20$ .

$- \frac{n}{4} \geq 12$

Divide each term in $- \frac{n}{4} \geq 12$ by $- 1$ and simplify.

Divide each term in $- \frac{n}{4} \geq 12$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{n}{4}}{- 1} \leq \frac{12}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{n}{4}}{1} \leq \frac{12}{- 1}$

Divide $\frac{n}{4}$ by $1$ .

$\frac{n}{4} \leq \frac{12}{- 1}$

Simplify the right side.

Divide $12$ by $- 1$ .

$\frac{n}{4} \leq - 12$

Multiply both sides by $4$ .

$\frac{n}{4} \cdot 4 \leq - 12 \cdot 4$

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{n}{4} \cdot 4 \leq - 12 \cdot 4$

Rewrite the expression.

$n \leq - 12 \cdot 4$

Simplify the right side.

Multiply $- 12$ by $4$ .

$n \leq - 48$

The result can be shown in multiple forms.

Inequality Form:

$n \leq - 48$

Interval Notation:

$(- \infty, - 48]$

Solve the Inequality for n 8-1/4n>=20

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