Solve the Inequality for x 1/5x+3>9

$\frac{1}{5} x + 3 > 9$

Step 1

Combine $\frac{1}{5}$ and $x$ .

$\frac{x}{5} + 3 > 9$

Step 2

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

Subtract $3$ from both sides of the inequality.

$\frac{x}{5} > 9 - 3$

Subtract $3$ from $9$ .

$\frac{x}{5} > 6$

Step 3

Multiply both sides by $5$ .

$\frac{x}{5} \cdot 5 > 6 \cdot 5$

Step 4

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{x}{5} \cdot 5 > 6 \cdot 5$

Rewrite the expression.

$x > 6 \cdot 5$

Simplify the right side.

Multiply $6$ by $5$ .

$x > 30$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x > 30$

Interval Notation:

$(30, \infty)$