Solve x/3>1-x-3/3

$$\frac { x } { 3 } > 1 - \frac { x - 3 } { 3 }$$

Solve for x

$$x>3$$

Solution Steps

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

$$x>3-\left(x-3\right)$$

To find the opposite of x-3, find the opposite of each term.

$$x>3-x-\left(-3\right)$$

The opposite of -3 is 3.

$$x>3-x+3$$

Add 3 and 3 to get 6.

$$x>6-x$$

Add x to both sides.

$$x+x>6$$

Combine x and x to get 2x.

$$2x>6$$

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

$$x>\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$x>3$$