Solve the Inequality for d -7d-3>2d-10

$- 7 d - 3 > 2 d - 10$

Step 1

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

Subtract $2 d$ from both sides of the inequality.

$- 7 d - 3 - 2 d > - 10$

Subtract $2 d$ from $- 7 d$ .

$- 9 d - 3 > - 10$

Step 2

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

Add $3$ to both sides of the inequality.

$- 9 d > - 10 + 3$

Add $- 10$ and $3$ .

$- 9 d > - 7$

Step 3

Divide each term in $- 9 d > - 7$ by $- 9$ and simplify.

Divide each term in $- 9 d > - 7$ by $- 9$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 9 d}{- 9} < \frac{- 7}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 d}{- 9} < \frac{- 7}{- 9}$

Divide $d$ by $1$ .

$d < \frac{- 7}{- 9}$

Simplify the right side.

Dividing two negative values results in a positive value.

$d < \frac{7}{9}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$d < \frac{7}{9}$

Interval Notation:

$(- \infty, \frac{7}{9})$

Solve the Inequality for d -7d-3>2d-10

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