Solve for d -38d-57>=-19d+76

$- 38 d - 57 \geq - 19 d + 76$

Step 1

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

Add $19 d$ to both sides of the inequality.

$- 38 d - 57 + 19 d \geq 76$

Add $- 38 d$ and $19 d$ .

$- 19 d - 57 \geq 76$

Step 2

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

Add $57$ to both sides of the inequality.

$- 19 d \geq 76 + 57$

Add $76$ and $57$ .

$- 19 d \geq 133$

Step 3

Divide each term in $- 19 d \geq 133$ by $- 19$ and simplify.

Divide each term in $- 19 d \geq 133$ by $- 19$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 19 d}{- 19} \leq \frac{133}{- 19}$

Simplify the left side.

Cancel the common factor of $- 19$ .

Cancel the common factor.

$\frac{- 19 d}{- 19} \leq \frac{133}{- 19}$

Divide $d$ by $1$ .

$d \leq \frac{133}{- 19}$

Simplify the right side.

Divide $133$ by $- 19$ .

$d \leq - 7$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$d \leq - 7$

Interval Notation:

$(- \infty, - 7]$

Solve for d -38d-57>=-19d+76

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