Solve the Inequality for d -12d+4>=-2

$- 12 d + 4 \geq - 2$

Step 1

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

Subtract $4$ from both sides of the inequality.

$- 12 d \geq - 2 - 4$

Subtract $4$ from $- 2$ .

$- 12 d \geq - 6$

Step 2

Divide each term in $- 12 d \geq - 6$ by $- 12$ and simplify.

Divide each term in $- 12 d \geq - 6$ by $- 12$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 12 d}{- 12} \leq \frac{- 6}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 d}{- 12} \leq \frac{- 6}{- 12}$

Divide $d$ by $1$ .

$d \leq \frac{- 6}{- 12}$

Simplify the right side.

Cancel the common factor of $- 6$ and $- 12$ .

Factor $- 6$ out of $- 6$ .

$d \leq \frac{- 6 (1)}{- 12}$

Cancel the common factors.

Factor $- 6$ out of $- 12$ .

$d \leq \frac{- 6 \cdot 1}{- 6 \cdot 2}$

Cancel the common factor.

$d \leq \frac{- 6 \cdot 1}{- 6 \cdot 2}$

Rewrite the expression.

$d \leq \frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$d \leq \frac{1}{2}$

Interval Notation:

$(- \infty, \frac{1}{2}]$

Solve the Inequality for d -12d+4>=-2

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