Solve the Inequality for x x/3-1>=8

$\frac{x}{3} - 1 \geq 8$

Step 1

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

Add $1$ to both sides of the inequality.

$\frac{x}{3} \geq 8 + 1$

Add $8$ and $1$ .

$\frac{x}{3} \geq 9$

Step 2

Multiply both sides by $3$ .

$\frac{x}{3} \cdot 3 \geq 9 \cdot 3$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{x}{3} \cdot 3 \geq 9 \cdot 3$

Rewrite the expression.

$x \geq 9 \cdot 3$

Simplify the right side.

Multiply $9$ by $3$ .

$x \geq 27$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq 27$

Interval Notation:

$[27, \infty)$