Solve the Inequality for x -7+x/3>-4

$- 7 + \frac{x}{3} > - 4$

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

Add $7$ to both sides of the inequality.

$\frac{x}{3} > - 4 + 7$

Add $- 4$ and $7$ .

$\frac{x}{3} > 3$

Multiply both sides by $3$ .

$\frac{x}{3} \cdot 3 > 3 \cdot 3$

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{x}{3} \cdot 3 > 3 \cdot 3$

Rewrite the expression.

$x > 3 \cdot 3$

Simplify the right side.

Multiply $3$ by $3$ .

$x > 9$

The result can be shown in multiple forms.

Inequality Form:

$x > 9$

Interval Notation:

$(9, \infty)$