Question

Find the student’s error in solving the following inequality.

31 < –5x + 6
25 < –5x
–5 < x

a. The student should have added 6 to both sides instead of subtracting it.

b. The student divided 25/–5 incorrectly.

c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Answer 1

Hello,
Answer C

When you divide by a negative number the order is invert. (< become >")

Answer 2

Answer: c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Explanation:

From the given steps, the last step is done wrong by student.

When we multiply or divide any negative number on vboth sided of the inequality, the sign of inequality reverse its direction .

In the last step student divide the inequality by -5 but didn't switch direction of the inequality sign.

hence, c is the right option "The student should have switched the direction of the inequality sign to get –5> x for a final answer."