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Question

Jordan solved the inequality as shown below. Which describes the error that Jordan made in his work?
-6x+18<54
-6x<36
x<-6


Question 7 options:

Jordan did not make a mistake

Jordan did not combine 18 and 54 correctly

Jordan did not flip the inequality symbol

Jordan did not divide correctly

Answer 1

To analyze Jordan's solution step by step:

1. He starts with the inequality: \(-6x + 18 < 54\)

2. He subtracts 18 from both sides to isolate the term with \(x\): \(-6x < 54 - 18\) \(-6x < 36\)

3. He then divides both sides by -6. When dividing or multiplying both sides of an inequality by a negative number, the inequality sign must be flipped. So this step should be: \(x > -6\) (not \(x < -6\))

From the analysis, Jordan's mistake was during the division step where he did not flip the inequality symbol.

Therefore, the correct answer is:

Jordan did not flip the inequality symbol.