Solve for w 1/6w>=2.5

$\frac{1}{6} w \geq 2.5$

Step 1

Multiply each term in $\frac{1}{6} w \geq 2.5$ by $6$ .

$\frac{1}{6} w \cdot 6 \geq 2.5 \cdot 6$

Step 2

Simplify the left side.

Combine $\frac{1}{6}$ and $w$ .

$\frac{w}{6} \cdot 6 \geq 2.5 \cdot 6$

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{w}{6} \cdot 6 \geq 2.5 \cdot 6$

Rewrite the expression.

$w \geq 2.5 \cdot 6$

Step 3

Simplify the right side.

Multiply $2.5$ by $6$ .

$w \geq 15$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$w \geq 15$

Interval Notation:

$[15, \infty)$