What is 1/3 (5x-1)>= 3/7 (x+5) ?

The solution to 1/3 (5x-1)>= 3/7 (x+5) is x>= 2

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1/3 (5x-1)>= 3/7 (x+5)

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

x \geq 2

Solution steps

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

Expand

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

Expand

\frac{3}{7} (x + 5) : \frac{3}{7} x + \frac{15}{7}

\frac{5}{3} x - \frac{1}{3} \geq \frac{3}{7} x + \frac{15}{7}

Move

\frac{1}{3}

to the right side

\frac{5}{3} x \geq \frac{52}{21} + \frac{3}{7} x

Move

\frac{3}{7} x

to the left side

\frac{26}{21} x \geq \frac{52}{21}

Multiply both sides by

21

26 x \geq 52

Divide both sides by

26

x \geq 2

8 y^{3} + 14 y^{2} + 3 y

2 m^{2} - 72 m + 16

7 (14 g^{4} - 4 g + 10)

2 (y - 1) + 8 = 6 (2 y - 4)

\frac{2 x - 2}{7} = - 8

What is 1/3 (5x-1)>= 3/7 (x+5) ?
The solution to 1/3 (5x-1)>= 3/7 (x+5) is x>= 2