Solve x-1/2geqx/3

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

Solve for x

$$x\geq 3$$

Solution Steps

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

$$3\left(x-1\right)\geq 2x$$

Use the distributive property to multiply 3 by x-1.

$$3x-3\geq 2x$$

Subtract 2x from both sides.

$$3x-3-2x\geq 0$$

Combine 3x and -2x to get x.

$$x-3\geq 0$$

Add 3 to both sides. Anything plus zero gives itself.

$$x\geq 3$$