Brazil’s rain forests currently cover about $1{,}400{,}000$ square miles, but are becoming smaller every year because of deforestation. Realizing that the rain forests are a great resource, Brazil has decided to control how quickly the forests are cleared.

In $50$ years Brazil would like the rain forests to cover more than $1{,}200{,}000$ square miles. If $x$ represents the forest area that is cleared each year, write and solve an inequality that would help determine acceptable values of $x$.