Solve for d -2-d/5<23

$- 2 - \frac{d}{5} < 23$

Step 1

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

Add $2$ to both sides of the inequality.

$- \frac{d}{5} < 23 + 2$

Add $23$ and $2$ .

$- \frac{d}{5} < 25$

Step 2

Divide each term in $- \frac{d}{5} < 25$ by $- 1$ and simplify.

Divide each term in $- \frac{d}{5} < 25$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{d}{5}}{- 1} > \frac{25}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{d}{5}}{1} > \frac{25}{- 1}$

Divide $\frac{d}{5}$ by $1$ .

$\frac{d}{5} > \frac{25}{- 1}$

Simplify the right side.

Divide $25$ by $- 1$ .

$\frac{d}{5} > - 25$

Step 3

Multiply both sides by $5$ .

$\frac{d}{5} \cdot 5 > - 25 \cdot 5$

Step 4

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{d}{5} \cdot 5 > - 25 \cdot 5$

Rewrite the expression.

$d > - 25 \cdot 5$

Simplify the right side.

Multiply $- 25$ by $5$ .

$d > - 125$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$d > - 125$

Interval Notation:

$(- 125, \infty)$

Solve for d -2-d/5<23

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