Solve 6j-9<-6(-2j+2)

$$6 j - 9 < - 6 ( - 2 j + 2 )$$

Solve for j

$$j>\frac{1}{2}$$

Solution Steps

Use the distributive property to multiply -6 by -2j+2.

$$6j-9<12j-12$$

Subtract 12j from both sides.

$$6j-9-12j<-12$$

Combine 6j and -12j to get -6j.

$$-6j-9<-12$$

Add 9 to both sides.

$$-6j<-12+9$$

Add -12 and 9 to get -3.

$$-6j<-3$$

Divide both sides by -6. Since -6 is negative, the inequality direction is changed.

$$j>\frac{-3}{-6}$$

Reduce the fraction \frac{-3}{-6} to lowest terms by extracting and canceling out -3.

$$j>\frac{1}{2}$$