Solve x+2geqx+4/3

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

Solve for x

$$x\geq -1$$

Solution Steps

Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.

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

Subtract x from both sides.

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

Combine 3x and -x to get 2x.

$$2x+6\geq 4$$

Subtract 6 from both sides.

$$2x\geq 4-6$$

Subtract 6 from 4 to get -2.

$$2x\geq -2$$

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

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

Divide -2 by 2 to get -1.

$$x\geq -1$$