Solve the Inequality for n -3/4n<=3

$- \frac{3}{4} n \leq 3$

Multiply each term in $- \frac{3}{4} n \leq 3$ by $- \frac{4}{3}$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$- \frac{3}{4} n (- \frac{4}{3}) \geq 3 (- \frac{4}{3})$

Simplify the left side.

Combine $n$ and $\frac{3}{4}$ .

$- \frac{n \cdot 3}{4} (- \frac{4}{3}) \geq 3 (- \frac{4}{3})$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{n \cdot 3}{4}$ into the numerator.

$\frac{- n \cdot 3}{4} (- \frac{4}{3}) \geq 3 (- \frac{4}{3})$

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$\frac{- n \cdot 3}{4} \cdot \frac{- 4}{3} \geq 3 (- \frac{4}{3})$

Factor $3$ out of $- n \cdot 3$ .

$\frac{3 \cdot (- n)}{4} \cdot \frac{- 4}{3} \geq 3 (- \frac{4}{3})$

Cancel the common factor.

$\frac{3 \cdot (- n)}{4} \cdot \frac{- 4}{3} \geq 3 (- \frac{4}{3})$

Rewrite the expression.

$\frac{- n}{4} \cdot - 4 \geq 3 (- \frac{4}{3})$

Cancel the common factor of $4$ .

Factor $4$ out of $- 4$ .

$\frac{- n}{4} \cdot (4 (- 1)) \geq 3 (- \frac{4}{3})$

Cancel the common factor.

$\frac{- n}{4} \cdot (4 \cdot - 1) \geq 3 (- \frac{4}{3})$

Rewrite the expression.

$- n \cdot - 1 \geq 3 (- \frac{4}{3})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 n \geq 3 (- \frac{4}{3})$

Multiply $n$ by $1$ .

$n \geq 3 (- \frac{4}{3})$

Simplify the right side.

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$n \geq 3 (\frac{- 4}{3})$

Cancel the common factor.

$n \geq 3 (\frac{- 4}{3})$

Rewrite the expression.

$n \geq - 4$

The result can be shown in multiple forms.

Inequality Form:

$n \geq - 4$

Interval Notation:

$[- 4, \infty)$

Solve the Inequality for n -3/4n<=3

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