Solve 97.76+19.2j<38.6j-31.35+51.51

$$97.76 + 19.2 j < 38.6 j - 31.35 + 51.51$$

Solve for j

$$j>4$$

Solution Steps

Add -31.35 and 51.51 to get 20.16.

$$97.76+19.2j<38.6j+20.16$$

Subtract 38.6j from both sides.

$$97.76+19.2j-38.6j<20.16$$

Combine 19.2j and -38.6j to get -19.4j.

$$97.76-19.4j<20.16$$

Subtract 97.76 from both sides.

$$-19.4j<20.16-97.76$$

Subtract 97.76 from 20.16 to get -77.6.

$$-19.4j<-77.6$$

Divide both sides by -19.4. Since -19.4 is negative, the inequality direction is changed.

$$j>\frac{-77.6}{-19.4}$$

Expand \frac{-77.6}{-19.4} by multiplying both numerator and the denominator by 10.

$$j>\frac{-776}{-194}$$

Divide -776 by -194 to get 4.

$$j>4$$