To solve an inequality with terms on both sides, you have to isolate the variable in the center by cancelling out the terms on <em>both</em> sides. So in this case you would not only subtract 25 from 30 (on the left) and the 25 in the center, but you would also have to subtract from the 75 (on the right)
In the given scenario, The appropriate test for the teaching profession's accomplishment pre and post-class would be the two-sample t-test with dependent samples, that's why choice "a" is correct.