Solve the Inequality for n 3n-5<=4n+3

$3 n - 5 \leq 4 n + 3$

Move all terms containing $n$ to the left side of the inequality.

Subtract $4 n$ from both sides of the inequality.

$3 n - 5 - 4 n \leq 3$

Subtract $4 n$ from $3 n$ .

$- n - 5 \leq 3$

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

Add $5$ to both sides of the inequality.

$- n \leq 3 + 5$

Add $3$ and $5$ .

$- n \leq 8$

Divide each term in $- n \leq 8$ by $- 1$ and simplify.

Divide each term in $- n \leq 8$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $n$ by $1$ .

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

Simplify the right side.

Divide $8$ by $- 1$ .

$n \geq - 8$

The result can be shown in multiple forms.

Inequality Form:

$n \geq - 8$

Interval Notation:

$[- 8, \infty)$

Solve the Inequality for n 3n-5<=4n+3

Related Questions

Support LCMGCF.com by disabling your adblocker.