Solve -7.51geq-1.71-z

$$- 7.51 \geq - 1.71 - z$$

Solve for z

$$z\geq 5.8$$

Solution Steps

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

$$-1.71-z\leq -7.51$$

Add 1.71 to both sides.

$$-z\leq -7.51+1.71$$

Add -7.51 and 1.71 to get -5.8.

$$-z\leq -5.8$$

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

$$z\geq \frac{-5.8}{-1}$$

Expand \frac{-5.8}{-1} by multiplying both numerator and the denominator by 10.

$$z\geq \frac{-58}{-10}$$

Reduce the fraction \frac{-58}{-10} to lowest terms by extracting and canceling out -2.

$$z\geq \frac{29}{5}$$