What is -10s+2(-2s-9)<= 3s-1+7s ?

The solution to -10s+2(-2s-9) =-17/24

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-10s+2(-2s-9)<= 3s-1+7s

- 10 s + 2 (- 2 s - 9) \leq 3 s - 1 + 7 s

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

Interval Notation

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

Decimal Notation

s \geq - 0.70833 \dots

Solution steps

- 10 s + 2 (- 2 s - 9) \leq 3 s - 1 + 7 s

Group like terms

- 10 s + 2 (- 2 s - 9) \leq 3 s + 7 s - 1

Add similar elements:

3 s + 7 s = 10 s

- 10 s + 2 (- 2 s - 9) \leq 10 s - 1

Expand

2 (- 2 s - 9) : - 4 s - 18

- 10 s - 4 s - 18 \leq 10 s - 1

Add similar elements:

- 10 s - 4 s = - 14 s

- 14 s - 18 \leq 10 s - 1

Move

18

to the right side

- 14 s \leq 10 s + 17

Move

10 s

to the left side

- 24 s \leq 17

Multiply both sides by

- 1

24 s \geq - 17

Divide both sides by

24

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

\frac{1}{x + h} - \frac{1}{x}

x^{2} 10 x^{2} - 3 x - 4

\frac{4 ( x - 3 )}{5} = 3 (x + 2)

\frac{x ^{6}}{x ^{2}}

- 4 \leq x < 0

What is -10s+2(-2s-9)<= 3s-1+7s ?
The solution to -10s+2(-2s-9)<= 3s-1+7s is s>=-17/24