Solve -3(x-4)/4>3

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

Solve for x

$$x<0$$

Solution Steps

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

$$-3\left(x-4\right)>3\times 4$$

Use the distributive property to multiply -3 by x-4.

$$-3x+12>3\times 4$$

Multiply 3 and 4 to get 12.

$$-3x+12>12$$

Subtract 12 from both sides.

$$-3x>12-12$$

Subtract 12 from 12 to get 0.

$$-3x>0$$

Product of two numbers is >0 if both are >0 or both are <0. Since -3<0, x must be <0.

$$x<0$$