Solve 8-5n<3n-4(n-9)

$$8 - 5 n < 3 n - 4 ( n - 9 )$$

Solve for n

$$n>-7$$

Solution Steps

Use the distributive property to multiply -4 by n-9.

$$8-5n<3n-4n+36$$

Combine 3n and -4n to get -n.

$$8-5n<-n+36$$

Add n to both sides.

$$8-5n+n<36$$

Combine -5n and n to get -4n.

$$8-4n<36$$

Subtract 8 from both sides.

$$-4n<36-8$$

Subtract 8 from 36 to get 28.

$$-4n<28$$

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$n>\frac{28}{-4}$$

Divide 28 by -4 to get -7.

$$n>-7$$