Solve 6(u+5)-5>2u-11

$$6 ( u + 5 ) - 5 > 2 u - 11$$

Solve for u

$$u>-9$$

Solution Steps

Use the distributive property to multiply 6 by u+5.

$$6u+30-5>2u-11$$

Subtract 5 from 30 to get 25.

$$6u+25>2u-11$$

Subtract 2u from both sides.

$$6u+25-2u>-11$$

Combine 6u and -2u to get 4u.

$$4u+25>-11$$

Subtract 25 from both sides.

$$4u>-11-25$$

Subtract 25 from -11 to get -36.

$$4u>-36$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$u>\frac{-36}{4}$$

Divide -36 by 4 to get -9.

$$u>-9$$