Solve -r-7.2>21.3

$$- r - 7.2 > 21.3$$

Solve for r

$$r<-28.5$$

Solution Steps

Add 7.2 to both sides.

$$-r>21.3+7.2$$

Add 21.3 and 7.2 to get 28.5.

$$-r>28.5$$

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

$$r<\frac{28.5}{-1}$$

Expand \frac{28.5}{-1} by multiplying both numerator and the denominator by 10.

$$r<\frac{285}{-10}$$

Reduce the fraction \frac{285}{-10} to lowest terms by extracting and canceling out 5.

$$r<-\frac{57}{2}$$