Solve 2x-1/4geqx/3+2

$$\frac{ 2x-1 }{ 4 } \geq \frac{ x }{ 3 } +2$$

Solve for x

$$x\geq \frac{27}{2}$$

Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 4,3. Since 12 is positive, the inequality direction remains the same.

$$3\left(2x-1\right)\geq 4x+24$$

Use the distributive property to multiply 3 by 2x-1.

$$6x-3\geq 4x+24$$

Subtract 4x from both sides.

$$6x-3-4x\geq 24$$

Combine 6x and -4x to get 2x.

$$2x-3\geq 24$$

Add 3 to both sides.

$$2x\geq 24+3$$

Add 24 and 3 to get 27.

$$2x\geq 27$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$x\geq \frac{27}{2}$$