What is -7z-(-5z-4)<=-3z-2+4z ?

The solution to -7z-(-5z-4) = 2

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-7z-(-5z-4)<=-3z-2+4z

- 7 z - (- 5 z - 4) \leq - 3 z - 2 + 4 z

z \geq 2

Interval Notation

[2, \infty)

Solution steps

- 7 z - (- 5 z - 4) \leq - 3 z - 2 + 4 z

Group like terms

- 7 z - (- 5 z - 4) \leq - 3 z + 4 z - 2

Add similar elements:

- 3 z + 4 z = z

- 7 z - (- 5 z - 4) \leq z - 2

Expand

- 7 z - (- 5 z - 4) : - 2 z + 4

- 2 z + 4 \leq z - 2

Move

4

to the right side

- 2 z \leq z - 6

Move

z

to the left side

- 3 z \leq - 6

Multiply both sides by

- 1

3 z \geq 6

Divide both sides by

3

z \geq 2

- 3 x < 12

- 7 \leq \frac{- 10 + v}{3}

8^{\frac{5}{3}}

\frac{2}{3} x^{2} - \frac{5}{6} x \leq \frac{7}{2}