Solve 4(6u+9)geq19u+11

$$4 ( 6 u + 9 ) \geq 19 u + 11$$

Solve for u

$$u\geq -5$$

Solution Steps

Use the distributive property to multiply 4 by 6u+9.

$$24u+36\geq 19u+11$$

Subtract 19u from both sides.

$$24u+36-19u\geq 11$$

Combine 24u and -19u to get 5u.

$$5u+36\geq 11$$

Subtract 36 from both sides.

$$5u\geq 11-36$$

Subtract 36 from 11 to get -25.

$$5u\geq -25$$

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

$$u\geq \frac{-25}{5}$$

Divide -25 by 5 to get -5.

$$u\geq -5$$