Solve the Inequality for x (5x-1)/3>3

$\frac{5 x - 1}{3} > 3$

Step 1

Multiply both sides by $3$ .

$\frac{5 x - 1}{3} \cdot 3 > 3 \cdot 3$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{5 x - 1}{3} \cdot 3 > 3 \cdot 3$

Rewrite the expression.

$5 x - 1 > 3 \cdot 3$

Simplify the right side.

Multiply $3$ by $3$ .

$5 x - 1 > 9$

Step 3

Solve for $x$ .

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

Add $1$ to both sides of the inequality.

$5 x > 9 + 1$

Add $9$ and $1$ .

$5 x > 10$

Divide each term in $5 x > 10$ by $5$ and simplify.

Divide each term in $5 x > 10$ by $5$ .

$\frac{5 x}{5} > \frac{10}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} > \frac{10}{5}$

Divide $x$ by $1$ .

$x > \frac{10}{5}$

Simplify the right side.

Divide $10$ by $5$ .

$x > 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 2$

Interval Notation:

$(2, \infty)$