What is 1+(2x)/5-1/2 (x+5)>= x ?

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

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1+(2x)/5-1/2 (x+5)>= x

1 + \frac{2 x}{5} - \frac{1}{2} (x + 5) \geq x

x \leq - \frac{15}{11}

Interval Notation

(- \infty, - \frac{15}{11}]

Decimal Notation

x \leq - 1.36363 \dots

Solution steps

1 + \frac{2 x}{5} - \frac{1}{2} (x + 5) \geq x

Move

1

to the right side

\frac{2 x}{5} - \frac{1}{2} (x + 5) \geq x - 1

Multiply by LCM

4 x - 5 (x + 5) \geq 10 x - 10

Expand

- 5 (x + 5) : - 5 x - 25

4 x - 5 x - 25 \geq 10 x - 10

Add similar elements:

4 x - 5 x = - x

- x - 25 \geq 10 x - 10

Move

25

to the right side

- x \geq 10 x + 15

Move

10 x

to the left side

- 11 x \geq 15

Multiply both sides by

- 1

11 x \leq - 15

Divide both sides by

11

x \leq - \frac{15}{11}

12 x - 13 x + 4 - 8 x = 9 - 4 x + 6 x - 2 - 5 x

- 2 = \frac{x - 18.9}{4.3}

3 + 23

2 x^{3} + 5 x^{2} - 2 x - 5

1 + \frac{m}{3} \leq 6

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