What is 5/7 x-1/2 (x+3)<= 9/14 ?

The solution to 5/7 x-1/2 (x+3)<= 9/14 is x<= 10

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5/7 x-1/2 (x+3)<= 9/14

\frac{5}{7} x - \frac{1}{2} (x + 3) \leq \frac{9}{14}

x \leq 10

Interval Notation

(- \infty, 10]

Solution steps

\frac{5}{7} x - \frac{1}{2} (x + 3) \leq \frac{9}{14}

Multiply by LCM

10 x - 7 (x + 3) \leq 9

Expand

- 7 (x + 3) : - 7 x - 21

10 x - 7 x - 21 \leq 9

Add similar elements:

10 x - 7 x = 3 x

3 x - 21 \leq 9

Move

21

to the right side

3 x \leq 30

Divide both sides by

3

x \leq 10

6 4^{- \frac{7}{6}}

∣ 9 x + 1 ∣ = 46

(1 + \frac{0.08}{12})^{12} - 1

- 3 x + 6 \geq 12

(- 64)^{\frac{2}{3}}

What is 5/7 x-1/2 (x+3)<= 9/14 ?
The solution to 5/7 x-1/2 (x+3)<= 9/14 is x<= 10