Solve 3-x/3>-4

$$3 - \frac { x } { 3 } > - 4$$

Solve for x

$$x<21$$

Solution Steps

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

$$9-x>-12$$

Subtract 9 from both sides.

$$-x>-12-9$$

Subtract 9 from -12 to get -21.

$$-x>-21$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x<\frac{-21}{-1}$$

Fraction \frac{-21}{-1} can be simplified to 21 by removing the negative sign from both the numerator and the denominator.

$$x<21$$