Solve 2(x-1/3)geqx/2

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

Solve for x

$$x\geq 4$$

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of 3,2. Since 6 is positive, the inequality direction remains the same.

$$4\left(x-1\right)\geq 3x$$

Use the distributive property to multiply 4 by x-1.

$$4x-4\geq 3x$$

Subtract 3x from both sides.

$$4x-4-3x\geq 0$$

Combine 4x and -3x to get x.

$$x-4\geq 0$$

Add 4 to both sides. Anything plus zero gives itself.

$$x\geq 4$$