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

The solution to -4+5(-5k-2) =-24/17

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-4+5(-5k-2)<=-4k+2+3-4k+2+3

- 4 + 5 (- 5 k - 2) \leq - 4 k + 2 + 3 - 4 k + 2 + 3

k \geq - \frac{24}{17}

Interval Notation

[- \frac{24}{17}, \infty)

Decimal Notation

k \geq - 1.41176 \dots

Solution steps

- 4 + 5 (- 5 k - 2) \leq - 4 k + 2 + 3 - 4 k + 2 + 3

Group like terms

- 4 + 5 (- 5 k - 2) \leq - 4 k - 4 k + 2 + 3 + 2 + 3

Add similar elements:

- 4 k - 4 k = - 8 k

- 4 + 5 (- 5 k - 2) \leq - 8 k + 2 + 3 + 2 + 3

Add the numbers:

2 + 3 + 2 + 3 = 10

- 4 + 5 (- 5 k - 2) \leq - 8 k + 10

Expand

- 4 + 5 (- 5 k - 2) : - 25 k - 14

- 25 k - 14 \leq - 8 k + 10

Move

14

to the right side

- 25 k \leq - 8 k + 24

Move

8 k

to the left side

- 17 k \leq 24

Multiply both sides by

- 1

17 k \geq - 24

Divide both sides by

17

k \geq - \frac{24}{17}

∣ - 6 X + 2 ∣ \leq X + 9

8 a^{2} - 4 a

u^{2} - 10 u + 9 = 0

- \frac{2}{9} \cdot \frac{3}{10}

\frac{1}{2} - \frac{1}{7}

What is -4+5(-5k-2)<=-4k+2+3-4k+2+3 ?
The solution to -4+5(-5k-2)<=-4k+2+3-4k+2+3 is k>=-24/17