Solve for n 4+n/3<6

$4 + \frac{n}{3} < 6$

Step 1

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

Subtract $4$ from both sides of the inequality.

$\frac{n}{3} < 6 - 4$

Subtract $4$ from $6$ .

$\frac{n}{3} < 2$

Step 2

Multiply both sides by $3$ .

$\frac{n}{3} \cdot 3 < 2 \cdot 3$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{n}{3} \cdot 3 < 2 \cdot 3$

Rewrite the expression.

$n < 2 \cdot 3$

Simplify the right side.

Multiply $2$ by $3$ .

$n < 6$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$n < 6$

Interval Notation:

$(- \infty, 6)$