Solve 3-x+3/4<x+1

$$3- \frac{ x+3 }{ 4 } < x+1$$

Solve for x

$$x>1$$

Solution Steps

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

$$12-\left(x+3\right)<4x+4$$

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

$$12-x-3<4x+4$$

Subtract 3 from 12 to get 9.

$$9-x<4x+4$$

Subtract 4x from both sides.

$$9-x-4x<4$$

Combine -x and -4x to get -5x.

$$9-5x<4$$

Subtract 9 from both sides.

$$-5x<4-9$$

Subtract 9 from 4 to get -5.

$$-5x<-5$$

Divide both sides by -5. Since -5 is negative, the inequality direction is changed.

$$x>\frac{-5}{-5}$$

Divide -5 by -5 to get 1.

$$x>1$$