Solve the Inequality for w -8w+4>=12

$- 8 w + 4 \geq 12$

Step 1

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

Subtract $4$ from both sides of the inequality.

$- 8 w \geq 12 - 4$

Subtract $4$ from $12$ .

$- 8 w \geq 8$

Step 2

Divide each term in $- 8 w \geq 8$ by $- 8$ and simplify.

Divide each term in $- 8 w \geq 8$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 w}{- 8} \leq \frac{8}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 w}{- 8} \leq \frac{8}{- 8}$

Divide $w$ by $1$ .

$w \leq \frac{8}{- 8}$

Simplify the right side.

Divide $8$ by $- 8$ .

$w \leq - 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$w \leq - 1$

Interval Notation:

$(- \infty, - 1]$

Solve the Inequality for w -8w+4>=12

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