Solve for d 3d-7d+2.8<5.8-27

$3 d - 7 d + 2.8 < 5.8 - 27$

Step 1

Subtract $7 d$ from $3 d$ .

$- 4 d + 2.8 < 5.8 - 27$

Step 2

Subtract $27$ from $5.8$ .

$- 4 d + 2.8 < - 21.2$

Step 3

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

Subtract $2.8$ from both sides of the inequality.

$- 4 d < - 21.2 - 2.8$

Subtract $2.8$ from $- 21.2$ .

$- 4 d < - 24$

Step 4

Divide each term in $- 4 d < - 24$ by $- 4$ and simplify.

Divide each term in $- 4 d < - 24$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 d}{- 4} > \frac{- 24}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 d}{- 4} > \frac{- 24}{- 4}$

Divide $d$ by $1$ .

$d > \frac{- 24}{- 4}$

Simplify the right side.

Divide $- 24$ by $- 4$ .

$d > 6$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$d > 6$

Interval Notation:

$(6, \infty)$

Solve for d 3d-7d+2.8<5.8-27

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