What is (5-x)/2-(x-17)/4 >= x/3-(7x-3)/(12) ?

The solution to (5-x)/2-(x-17)/4 >= x/3-(7x-3)/(12) is x<= 13

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(5-x)/2-(x-17)/4 >= x/3-(7x-3)/(12)

\frac{5 - x}{2} - \frac{x - 17}{4} \geq \frac{x}{3} - \frac{7 x - 3}{12}

x \leq 13

Interval Notation

(- \infty, 13]

Solution steps

\frac{5 - x}{2} - \frac{x - 17}{4} \geq \frac{x}{3} - \frac{7 x - 3}{12}

Multiply by LCM

6 (- x + 5) - 3 (x - 17) \geq 4 x - (7 x - 3)

Expand

6 (- x + 5) - 3 (x - 17) : - 9 x + 81

Expand

4 x - (7 x - 3) : - 3 x + 3

- 9 x + 81 \geq - 3 x + 3

Move

81

to the right side

- 9 x \geq - 3 x - 78

Move

3 x

to the left side

- 6 x \geq - 78

Multiply both sides by

- 1

6 x \leq 78

Divide both sides by

6

x \leq 13

3 (y + 3) + y = 2 (y - 1) + 3

x^{2} + 0 + 1 = 0

3 x y - 6 x + 8 y - 16

6 x - 3 (x - 1) + 22 = 7 x - 11

1 0^{2 x + 7} \geq 100 0^{x}

What is (5-x)/2-(x-17)/4 >= x/3-(7x-3)/(12) ?
The solution to (5-x)/2-(x-17)/4 >= x/3-(7x-3)/(12) is x<= 13