Algebra Examples

$5 D - 8 D - 4 \leq - 4 + 3 d$

Step 1

Subtract $8 D$ from $5 D$ .

$- 3 D - 4 \leq - 4 + 3 d$

Step 2

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

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Step 2.1

Add $4$ to both sides of the inequality.

$- 3 D \leq - 4 + 3 d + 4$

Step 2.2

Combine the opposite terms in $- 4 + 3 d + 4$ .

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Step 2.2.1

Add $- 4$ and $4$ .

$- 3 D \leq 3 d + 0$

Step 2.2.2

Add $3 d$ and $0$ .

$- 3 D \leq 3 d$

Step 3

Divide each term in $- 3 D \leq 3 d$ by $- 3$ and simplify.

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Step 3.1

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

$\frac{- 3 D}{- 3} \geq \frac{3 d}{- 3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 3 D}{- 3} \geq \frac{3 d}{- 3}$

Step 3.2.1.2

Divide $D$ by $1$ .

$D \geq \frac{3 d}{- 3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $3$ and $- 3$ .

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Step 3.3.1.1

Factor $3$ out of $3 d$ .

$D \geq \frac{3 (d)}{- 3}$

Step 3.3.1.2

Move the negative one from the denominator of $\frac{d}{- 1}$ .

$D \geq - 1 \cdot d$

Step 3.3.2

Rewrite $- 1 \cdot d$ as $- d$ .

$D \geq - d$