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

C

Explanation:

Just did it

Answer 2

The correct option is:

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

Explanation:

The students has made a mistake in the 3rd step.

We know that when we multiply or divide any negative number on both sides of the inequality, the sign of inequality reverse its direction.

In step 3 the student divided 25 by -5 but did not switch direction of the inequality sign.

Therefore the correct option is: The student should have switched the direction of the inequality sign to get –5> x for a final answer