Question

Analyze and Persevere A teacher writes the inequality x+6<-12 on the board. Vincent incorrectly solves the inequality and obtains x<-2 as the solution. a. What was Vincent's likely error?

Answer 1

Vincent's error in solving the inequality x+6<-12 was likely due to not correctly subtracting 6 from both sides. The correct solution should be x<-18, not x<-2 as Vincent obtained.

Step-by-step explanation:

Vincent's likely error when solving the inequality x + 6 < -12 was not correctly subtracting 6 from both sides of the inequality. The correct process to solve the inequality would involve isolating the variable x on one side of the inequality.

Step-by-Step Explanation:

This demonstrates that the correct solution is x < -18, not x < -2 as Vincent got. This common mistake often happens if one misreads or miscalculates the arithmetic operation on the inequality.