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Popular >

3+2(2z-6)<=-8z-2-5z

Solution

3 + 2 (2 z - 6) \leq - 8 z - 2 - 5 z

Solution

z \leq \frac{7}{17}

+2

Interval Notation

(- \infty, \frac{7}{17}]

Decimal Notation

z \leq 0.41176 \dots

Solution steps

3 + 2 (2 z - 6) \leq - 8 z - 2 - 5 z

Group like terms

3 + 2 (2 z - 6) \leq - 8 z - 5 z - 2

Add similar elements:

- 8 z - 5 z = - 13 z

3 + 2 (2 z - 6) \leq - 13 z - 2

Expand

3 + 2 (2 z - 6) : 4 z - 9

4 z - 9 \leq - 13 z - 2

Move

9

to the right side

4 z \leq - 13 z + 7

Move

13 z

to the left side

17 z \leq 7

Divide both sides by

17

z \leq \frac{7}{17}

Popular Examples

x^{2} + 13 x - 30 = 0

x^{2} + x = 42

4 p^{2} - 4 p - 15 = 0

factor 16x^2-169y^2 factor

16 x^{2} - 169 y^{2}

factor 9t^3-90t^2+144t factor

9 t^{3} - 90 t^{2} + 144 t

Frequently Asked Questions (FAQ)

What is 3+2(2z-6)<=-8z-2-5z ?
The solution to 3+2(2z-6)<=-8z-2-5z is z<= 7/17