What is 1/2 x+1/3 x-1/5 (x+7)<= 1/10 ?

The solution to 1/2 x+1/3 x-1/5 (x+7)<= 1/10 is x<= 45/19

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1/2 x+1/3 x-1/5 (x+7)<= 1/10

\frac{1}{2} x + \frac{1}{3} x - \frac{1}{5} (x + 7) \leq \frac{1}{10}

x \leq \frac{45}{19}

Interval Notation

(- \infty, \frac{45}{19}]

Decimal Notation

x \leq 2.36842 \dots

Solution steps

\frac{1}{2} x + \frac{1}{3} x - \frac{1}{5} (x + 7) \leq \frac{1}{10}

Multiply by LCM

25 x - 6 (x + 7) \leq 3

Expand

- 6 (x + 7) : - 6 x - 42

25 x - 6 x - 42 \leq 3

Add similar elements:

25 x - 6 x = 19 x

19 x - 42 \leq 3

Move

42

to the right side

19 x \leq 45

Divide both sides by

19

x \leq \frac{45}{19}

- 6 \leq 3 (6 - 4 x)

5 a^{2} - 3 a

x^{2} - 3 x - 40

f = 475 (0.5)^{3}

\frac{3 8}{4 6}

What is 1/2 x+1/3 x-1/5 (x+7)<= 1/10 ?
The solution to 1/2 x+1/3 x-1/5 (x+7)<= 1/10 is x<= 45/19