Solve 3n+59-5(n-1)<5

$$3 n + 59 - 5 ( n - 1 ) < 5$$

Solve for n

$$n>\frac{59}{2}$$

Solution Steps

Use the distributive property to multiply -5 by n-1.

$$3n+59-5n+5<5$$

Combine 3n and -5n to get -2n.

$$-2n+59+5<5$$

Add 59 and 5 to get 64.

$$-2n+64<5$$

Subtract 64 from both sides.

$$-2n<5-64$$

Subtract 64 from 5 to get -59.

$$-2n<-59$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$n>\frac{-59}{-2}$$

Fraction \frac{-59}{-2} can be simplified to \frac{59}{2} by removing the negative sign from both the numerator and the denominator.

$$n>\frac{59}{2}$$