What is (15-5x)/6-(x-4)/2 >= (2x-3)/3-x/1 ?

The solution to (15-5x)/6-(x-4)/2 >= (2x-3)/3-x/1 is x<= 11/2

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(15-5x)/6-(x-4)/2 >= (2x-3)/3-x/1

\frac{15 - 5 x}{6} - \frac{x - 4}{2} \geq \frac{2 x - 3}{3} - \frac{x}{1}

x \leq \frac{11}{2}

Interval Notation

(- \infty, \frac{11}{2}]

Decimal Notation

x \leq 5.5

Solution steps

\frac{15 - 5 x}{6} - \frac{x - 4}{2} \geq \frac{2 x - 3}{3} - \frac{x}{1}

Apply rule

\frac{a}{1} = a

\frac{15 - 5 x}{6} - \frac{x - 4}{2} \geq \frac{2 x - 3}{3} - x

Multiply by LCM

15 - 5 x - 3 (x - 4) \geq 2 (2 x - 3) - 6 x

Expand

15 - 5 x - 3 (x - 4) : - 8 x + 27

Expand

2 (2 x - 3) - 6 x : - 2 x - 6

- 8 x + 27 \geq - 2 x - 6

Move

27

to the right side

- 8 x \geq - 2 x - 33

Move

2 x

to the left side

- 6 x \geq - 33

Multiply both sides by

- 1

6 x \leq 33

Divide both sides by

6

x \leq \frac{11}{2}

\frac{1 + i 2}{2} - (1 - i \frac{1}{2})

\frac{5 - x}{2} = 2 x - 7

1 8^{\frac{1}{2}}

4 x^{2 + 11 x - 3}

\frac{1}{x} < 10

What is (15-5x)/6-(x-4)/2 >= (2x-3)/3-x/1 ?
The solution to (15-5x)/6-(x-4)/2 >= (2x-3)/3-x/1 is x<= 11/2