Solve (4)x/4-x-1/2<1

$$( 4 ) \frac { x } { 4 } - \frac { x - 1 } { 2 } < 1$$

Solve for x

$$x<1$$

Solution Steps

Multiply both sides of the equation by 4, the least common multiple of 4,2. Since 4 is positive, the inequality direction remains the same.

$$4x-2\left(x-1\right)<4$$

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

$$4x-2x+2<4$$

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

$$2x+2<4$$

Subtract 2 from both sides.

$$2x<4-2$$

Subtract 2 from 4 to get 2.

$$2x<2$$

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

$$x<\frac{2}{2}$$

Divide 2 by 2 to get 1.

$$x<1$$