Inequalities Answers

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1
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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.
2
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Find the student’s error in solving the following inequality.2 x > –5/3

A
The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9.
B
The student divided 6/–3 incorrectly.
C
The student should not have switched the direction of the sign in the final step.
4

Identify the property used in each step of solving the inequality .Step 2)

Question illustration
A
Addition property
B
Multiplication property
C
Transitive property
9

Step 3)

A
Addition property
B
Multiplication property
C
Transitive property
12

Which of the following is the solution set of the problem?

A
(–, –3)
Option A
B
(–, –3]
Option B
C
[–3, )
Option C
D
(–3, )
Option D

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