What is ((3x))/(6-3)>= x/(6+1) ?

The solution to ((3x))/(6-3)>= x/(6+1) is x>= 0

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((3x))/(6-3)>= x/(6+1)

\frac{( 3 x )}{6 - 3} \geq \frac{x}{6 + 1}

x \geq 0

Interval Notation

[0, \infty)

Solution steps

\frac{( 3 x )}{6 - 3} \geq \frac{x}{6 + 1}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

3 x (6 + 1) \geq (6 - 3) x

Simplify

21 x \geq 3 x

Move

3 x

to the left side

18 x \geq 0

Divide both sides by

18

x \geq 0

x, 2 x - y < 4

10 - x > 7

\frac{- x}{3 + 2} < - 3

m, x^{2} + y^{2} - 4 x - 4 y + m > 0

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

What is ((3x))/(6-3)>= x/(6+1) ?
The solution to ((3x))/(6-3)>= x/(6+1) is x>= 0