What is 1/5 x+1/2 x-1/3 (x+5)<= 1/10 ?

The solution to 1/5 x+1/2 x-1/3 (x+5)<= 1/10 is x<= 53/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/5 x+1/2 x-1/3 (x+5)<= 1/10

\frac{1}{5} x + \frac{1}{2} x - \frac{1}{3} (x + 5) \leq \frac{1}{10}

x \leq \frac{53}{11}

Interval Notation

(- \infty, \frac{53}{11}]

Decimal Notation

x \leq 4.81818 \dots

Solution steps

\frac{1}{5} x + \frac{1}{2} x - \frac{1}{3} (x + 5) \leq \frac{1}{10}

Multiply by LCM

21 x - 10 (x + 5) \leq 3

Expand

- 10 (x + 5) : - 10 x - 50

21 x - 10 x - 50 \leq 3

Add similar elements:

21 x - 10 x = 11 x

11 x - 50 \leq 3

Move

50

to the right side

11 x \leq 53

Divide both sides by

11

x \leq \frac{53}{11}

7 m^{2} - 1 = 62

5 n^{2} - 6 n - 10 = 15

\frac{8}{3} - \frac{5}{2}

5 x + x + 2 + 3 x = 560

i^{- 10}

What is 1/5 x+1/2 x-1/3 (x+5)<= 1/10 ?
The solution to 1/5 x+1/2 x-1/3 (x+5)<= 1/10 is x<= 53/11