Solve 2-b/2geq0

$$\frac { 2 - b } { 2 } \geq 0$$

Solve for b

$$b\leq 2$$

Solution Steps

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same. Anything times zero gives zero.

$$2-b\geq 0$$

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

$$-b\geq -2$$

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

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

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

$$b\leq 2$$