Solve the Inequality for x (x-4)/5>=2

$\frac{x - 4}{5} \geq 2$

Step 1

Multiply both sides by $5$ .

$\frac{x - 4}{5} \cdot 5 \geq 2 \cdot 5$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{x - 4}{5} \cdot 5 \geq 2 \cdot 5$

Rewrite the expression.

$x - 4 \geq 2 \cdot 5$

Simplify the right side.

Multiply $2$ by $5$ .

$x - 4 \geq 10$

Step 3

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

Add $4$ to both sides of the inequality.

$x \geq 10 + 4$

Add $10$ and $4$ .

$x \geq 14$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq 14$

Interval Notation:

$[14, \infty)$