Solve 340x+200>222x+1600

$$340 x + 200 > 222 x + 1600$$

Solve for x

$$x>\frac{700}{59}$$

Solution Steps

Subtract 222x from both sides.

$$340x+200-222x>1600$$

Combine 340x and -222x to get 118x.

$$118x+200>1600$$

Subtract 200 from both sides.

$$118x>1600-200$$

Subtract 200 from 1600 to get 1400.

$$118x>1400$$

Divide both sides by 118. Since 118 is positive, the inequality direction remains the same.

$$x>\frac{1400}{118}$$

Reduce the fraction \frac{1400}{118} to lowest terms by extracting and canceling out 2.

$$x>\frac{700}{59}$$