Solve 1/3x/2geq1/6x

$$\frac{ \frac{ 1 }{ 3 } x }{ 2 } \geq \frac{ 1 }{ 6 } x$$

Solve for x

$$x\in \mathrm{R}$$

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of 2,6. Since 6 is positive, the inequality direction remains the same.

$$3\times \frac{1}{3}x\geq 1x$$

Cancel out 3 and 3.

$$x\geq 1x$$

Subtract 1x from both sides.

$$x-x\geq 0$$

Combine x and -x to get 0.

$$0\geq 0$$

This is true for any x.

$$x\in \mathrm{R}$$