Solve the Inequality for d 10d-5>11d-2

$10 d - 5 > 11 d - 2$

Step 1

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

Subtract $11 d$ from both sides of the inequality.

$10 d - 5 - 11 d > - 2$

Subtract $11 d$ from $10 d$ .

$- d - 5 > - 2$

Step 2

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

Add $5$ to both sides of the inequality.

$- d > - 2 + 5$

Add $- 2$ and $5$ .

$- d > 3$

Step 3

Divide each term in $- d > 3$ by $- 1$ and simplify.

Divide each term in $- d > 3$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- d}{- 1} < \frac{3}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{d}{1} < \frac{3}{- 1}$

Divide $d$ by $1$ .

$d < \frac{3}{- 1}$

Simplify the right side.

Divide $3$ by $- 1$ .

$d < - 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$d < - 3$

Interval Notation:

$(- \infty, - 3)$

Solve the Inequality for d 10d-5>11d-2

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