Solve 5.71geq7.71-z

$$5.71 \geq 7.71 - z$$

Solve for z

$$z\geq 2$$

Solution Steps

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$7.71-z\leq 5.71$$

Subtract 7.71 from both sides.

$$-z\leq 5.71-7.71$$

Subtract 7.71 from 5.71 to get -2.

$$-z\leq -2$$

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

$$z\geq \frac{-2}{-1}$$

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

$$z\geq 2$$