Solve the Inequality for w 4(w-6)<=-12

$4 (w - 6) \leq - 12$

Step 1

Divide each term in $4 (w - 6) \leq - 12$ by $4$ and simplify.

Divide each term in $4 (w - 6) \leq - 12$ by $4$ .

$\frac{4 (w - 6)}{4} \leq \frac{- 12}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 (w - 6)}{4} \leq \frac{- 12}{4}$

Divide $w - 6$ by $1$ .

$w - 6 \leq \frac{- 12}{4}$

Simplify the right side.

Divide $- 12$ by $4$ .

$w - 6 \leq - 3$

Step 2

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

Add $6$ to both sides of the inequality.

$w \leq - 3 + 6$

Add $- 3$ and $6$ .

$w \leq 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$w \leq 3$

Interval Notation:

$(- \infty, 3]$