Solve the Inequality for d -8d-5<6d+8

$- 8 d - 5 < 6 d + 8$

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

Subtract $6 d$ from both sides of the inequality.

$- 8 d - 5 - 6 d < 8$

Subtract $6 d$ from $- 8 d$ .

$- 14 d - 5 < 8$

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

Add $5$ to both sides of the inequality.

$- 14 d < 8 + 5$

Add $8$ and $5$ .

$- 14 d < 13$

Divide each term in $- 14 d < 13$ by $- 14$ and simplify.

Divide each term in $- 14 d < 13$ by $- 14$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 14 d}{- 14} > \frac{13}{- 14}$

Simplify the left side.

Cancel the common factor of $- 14$ .

Cancel the common factor.

$\frac{- 14 d}{- 14} > \frac{13}{- 14}$

Divide $d$ by $1$ .

$d > \frac{13}{- 14}$

Simplify the right side.

Move the negative in front of the fraction.

$d > - \frac{13}{14}$

The result can be shown in multiple forms.

Inequality Form:

$d > - \frac{13}{14}$

Interval Notation:

$(- \frac{13}{14}, \infty)$

Solve the Inequality for d -8d-5<6d+8

Related Questions

Support LCMGCF.com by disabling your adblocker.