What is -5d-(-9d+7)>=-d+10+9d ?

The solution to -5d-(-9d+7)>=-d+10+9d is d<=-17/4

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-5d-(-9d+7)>=-d+10+9d

- 5 d - (- 9 d + 7) \geq - d + 10 + 9 d

d \leq - \frac{17}{4}

Interval Notation

(- \infty, - \frac{17}{4}]

Decimal Notation

d \leq - 4.25

Solution steps

- 5 d - (- 9 d + 7) \geq - d + 10 + 9 d

Group like terms

- 5 d - (- 9 d + 7) \geq - d + 9 d + 10

Add similar elements:

- d + 9 d = 8 d

- 5 d - (- 9 d + 7) \geq 8 d + 10

Expand

- 5 d - (- 9 d + 7) : 4 d - 7

4 d - 7 \geq 8 d + 10

Move

7

to the right side

4 d \geq 8 d + 17

Move

8 d

to the left side

- 4 d \geq 17

Multiply both sides by

- 1

4 d \leq - 17

Divide both sides by

4

d \leq - \frac{17}{4}

∣ 3 x - 6 ∣ > 12

3 x + 2 < 8 + 6 x

- 6 < 4 - 2 x \leq 12

6 (x - 1) = 2 x + 10

- 3 v^{2} - 14 v - 15

What is -5d-(-9d+7)>=-d+10+9d ?
The solution to -5d-(-9d+7)>=-d+10+9d is d<=-17/4