Solve (x+1)/2>-1/2

$$\frac { ( x + 1 ) } { 2 } > - \frac { 1 } { 2 }$$

Solve for x

$$x>-2$$

Solution Steps

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

$$x+1>-\frac{1}{2}\times 2$$

Cancel out 2 and 2.

$$x+1>-1$$

Subtract 1 from both sides.

$$x>-1-1$$

Subtract 1 from -1 to get -2.

$$x>-2$$