Solve the Inequality for d -0.6>-0.3(d+6)

$- 0.6 > - 0.3 (d + 6)$

Step 1

Rewrite so $d$ is on the left side of the inequality.

$- 0.3 (d + 6) < - 0.6$

Step 2

Divide each term in $- 0.3 (d + 6) < - 0.6$ by $- 0.3$ and simplify.

Divide each term in $- 0.3 (d + 6) < - 0.6$ by $- 0.3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 0.3 (d + 6)}{- 0.3} > \frac{- 0.6}{- 0.3}$

Simplify the left side.

Cancel the common factor of $- 0.3$ .

Cancel the common factor.

$\frac{- 0.3 (d + 6)}{- 0.3} > \frac{- 0.6}{- 0.3}$

Divide $d + 6$ by $1$ .

$d + 6 > \frac{- 0.6}{- 0.3}$

Simplify the right side.

Divide $- 0.6$ by $- 0.3$ .

$d + 6 > 2$

Step 3

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

Subtract $6$ from both sides of the inequality.

$d > 2 - 6$

Subtract $6$ from $2$ .

$d > - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$d > - 4$

Interval Notation:

$(- 4, \infty)$

Solve the Inequality for d -0.6>-0.3(d+6)

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