Solve 2-x/4geq0

$$\frac { 2 - x } { 4 } \geq 0$$

Solve for x

$$x\leq 2$$

Solution Steps

Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same. Anything times zero gives zero.

$$2-x\geq 0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$-x\geq -2$$

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

$$x\leq \frac{-2}{-1}$$

Fraction \frac{-2}{-1} can be simplified to 2 by removing the negative sign from both the numerator and the denominator.

$$x\leq 2$$