Solve x+1>3(1-x)

$$x+1 > 3(1-x)$$

Solve for x

$$x>\frac{1}{2}$$

Solution Steps

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

$$x+1>3-3x$$

Add 3x to both sides.

$$x+1+3x>3$$

Combine x and 3x to get 4x.

$$4x+1>3$$

Subtract 1 from both sides.

$$4x>3-1$$

Subtract 1 from 3 to get 2.

$$4x>2$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$x>\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$x>\frac{1}{2}$$