Solve for d -12-d>-12+4d

$- 12 - d > - 12 + 4 d$

Step 1

Move all terms containing $d$ to the left side of the inequality.

Subtract $4 d$ from both sides of the inequality.

$- 12 - d - 4 d > - 12$

Subtract $4 d$ from $- d$ .

$- 12 - 5 d > - 12$

Step 2

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

Add $12$ to both sides of the inequality.

$- 5 d > - 12 + 12$

Add $- 12$ and $12$ .

$- 5 d > 0$

Step 3

Divide each term in $- 5 d > 0$ by $- 5$ and simplify.

Divide each term in $- 5 d > 0$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 d}{- 5} < \frac{0}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 d}{- 5} < \frac{0}{- 5}$

Divide $d$ by $1$ .

$d < \frac{0}{- 5}$

Simplify the right side.

Divide $0$ by $- 5$ .

$d < 0$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$d < 0$

Interval Notation:

$(- \infty, 0)$

Solve for d -12-d>-12+4d

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