What is -11x+3(x-8)>= 3x-(8+2x)-61 ?

The solution to -11x+3(x-8)>= 3x-(8+2x)-61 is x<= 5

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-11x+3(x-8)>= 3x-(8+2x)-61

- 11 x + 3 (x - 8) \geq 3 x - (8 + 2 x) - 61

x \leq 5

Interval Notation

(- \infty, 5]

Solution steps

- 11 x + 3 (x - 8) \geq 3 x - (8 + 2 x) - 61

Expand

3 (x - 8) : 3 x - 24

- 11 x + 3 x - 24 \geq 3 x - (8 + 2 x) - 61

Add similar elements:

- 11 x + 3 x = - 8 x

- 8 x - 24 \geq 3 x - (8 + 2 x) - 61

Expand

3 x - (8 + 2 x) - 61 : x - 69

- 8 x - 24 \geq x - 69

Move

24

to the right side

- 8 x \geq x - 45

Move

x

to the left side

- 9 x \geq - 45

Multiply both sides by

- 1

9 x \leq 45

Divide both sides by

9

x \leq 5

\frac{3 !}{3 ! 0 !}

x^{2} x^{- 2}

\frac{6 !}{4 ! \cdot 2 !}

- \frac{3}{3}

- 3 Y + 6 X

What is -11x+3(x-8)>= 3x-(8+2x)-61 ?
The solution to -11x+3(x-8)>= 3x-(8+2x)-61 is x<= 5