Solve the Inequality for x (x/3+2)<4

$(\frac{x}{3} + 2) < 4$

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

Subtract $2$ from both sides of the inequality.

$\frac{x}{3} < 4 - 2$

Subtract $2$ from $4$ .

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

Multiply both sides by $3$ .

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

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$x < 2 \cdot 3$

Simplify the right side.

Multiply $2$ by $3$ .

$x < 6$

The result can be shown in multiple forms.

Inequality Form:

$x < 6$

Interval Notation:

$(- \infty, 6)$