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a student attempts to solve the following compound inequality 2-3x>8 OR 5x-2>13. if the solution is incorrect, where did the student first go wrong and why?
steps
1. solve 2-3x>8 = x<-2
2.solve 5x-2>13 = x>3
3. recombine the solutions -2<x<3
answers
A. in step 3, the recombinant of the two branches of the compound inequality is incorrect. they merged as if they are an AND inequality when they should be merged as an OR inequality
B. no mistakes has been made
C. in step two, the solution is incorrect. it should be x<3 because when you add a negative number, you have to switch the direction of the inequality
D. the solution to the first branch is incorrect because the direction of the inequality was switched when it should not have been