Solve -5s-(-6s-10)<5s+9+5s

$$- 5 s - ( - 6 s - 10 ) < 5 s + 9 + 5 s$$

Solve for s

$$s>\frac{1}{9}$$

Solution Steps

To find the opposite of -6s-10, find the opposite of each term.

$$-5s-\left(-6s\right)-\left(-10\right)<5s+9+5s$$

The opposite of -6s is 6s.

$$-5s+6s-\left(-10\right)<5s+9+5s$$

The opposite of -10 is 10.

$$-5s+6s+10<5s+9+5s$$

Combine -5s and 6s to get s.

$$s+10<5s+9+5s$$

Combine 5s and 5s to get 10s.

$$s+10<10s+9$$

Subtract 10s from both sides.

$$s+10-10s<9$$

Combine s and -10s to get -9s.

$$-9s+10<9$$

Subtract 10 from both sides.

$$-9s<9-10$$

Subtract 10 from 9 to get -1.

$$-9s<-1$$

Divide both sides by -9. Since -9 is negative, the inequality direction is changed.

$$s>\frac{-1}{-9}$$

Fraction \frac{-1}{-9} can be simplified to \frac{1}{9} by removing the negative sign from both the numerator and the denominator.

$$s>\frac{1}{9}$$