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

The solution to 4x+3(x-1/5)>= 1/5 (2+x) is x>= 5/34

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

4 x + 3 (x - \frac{1}{5}) \geq \frac{1}{5} (2 + x)

x \geq \frac{5}{34}

Interval Notation

[\frac{5}{34}, \infty)

Decimal Notation

x \geq 0.14705 \dots

Solution steps

4 x + 3 (x - \frac{1}{5}) \geq \frac{1}{5} (2 + x)

Expand

3 (x - \frac{1}{5}) : 3 x - \frac{3}{5}

4 x + 3 x - \frac{3}{5} \geq \frac{1}{5} (2 + x)

Add similar elements:

4 x + 3 x = 7 x

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

Expand

\frac{1}{5} (2 + x) : \frac{2}{5} + \frac{1}{5} x

7 x - \frac{3}{5} \geq \frac{2}{5} + \frac{1}{5} x

Move

\frac{3}{5}

to the right side

7 x \geq \frac{1}{5} x + 1

Move

\frac{1}{5} x

to the left side

\frac{34}{5} x \geq 1

Multiply both sides by

5

34 x \geq 5

Divide both sides by

34

x \geq \frac{5}{34}

e^{- \frac{1}{2}}

23 - 2 i

\frac{- \frac{π}{4} + \frac{3 π}{4}}{2}

x y - 4 x + 6 y - 24

3 ∣ x - 4 ∣ - 13 = 2

What is 4x+3(x-1/5)>= 1/5 (2+x) ?
The solution to 4x+3(x-1/5)>= 1/5 (2+x) is x>= 5/34