What is -2z-(-10z+7)>= 2z-4-9z ?

The solution to -2z-(-10z+7)>= 2z-4-9z is z>= 1/5

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-2z-(-10z+7)>= 2z-4-9z

- 2 z - (- 10 z + 7) \geq 2 z - 4 - 9 z

z \geq \frac{1}{5}

Solution steps

- 2 z - (- 10 z + 7) \geq 2 z - 4 - 9 z

Group like terms

- 2 z - (- 10 z + 7) \geq 2 z - 9 z - 4

Add similar elements:

2 z - 9 z = - 7 z

- 2 z - (- 10 z + 7) \geq - 7 z - 4

Expand

- 2 z - (- 10 z + 7) : 8 z - 7

8 z - 7 \geq - 7 z - 4

Move

7

to the right side

8 z \geq - 7 z + 3

Move

7 z

to the left side

15 z \geq 3

Divide both sides by

15

z \geq \frac{1}{5}

(w)^{3}

5 (x^{2} + 1) - 7 = 3

∣ 8 x ∣ + 4 = 10

\frac{8}{9}

0 = x^{2} - 6 x + 13

What is -2z-(-10z+7)>= 2z-4-9z ?
The solution to -2z-(-10z+7)>= 2z-4-9z is z>= 1/5