Graph x/3-4<-2

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

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

Add $4$ to both sides of the inequality.

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

Add $- 2$ and $4$ .

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

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 $3$ .

$x < 6$