Solve 7u-34geq-5(2-3u)

$$7 u - 34 \geq - 5 ( 2 - 3 u )$$

Solve for u

$$u\leq -3$$

Solution Steps

Use the distributive property to multiply -5 by 2-3u.

$$7u-34\geq -10+15u$$

Subtract 15u from both sides.

$$7u-34-15u\geq -10$$

Combine 7u and -15u to get -8u.

$$-8u-34\geq -10$$

Add 34 to both sides.

$$-8u\geq -10+34$$

Add -10 and 34 to get 24.

$$-8u\geq 24$$

Divide both sides by -8. Since -8 is negative, the inequality direction is changed.

$$u\leq \frac{24}{-8}$$

Divide 24 by -8 to get -3.

$$u\leq -3$$