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AssignmentMultiple Choice

Solving Multistep Equations with Variables on Both Sides

Question 1 • SRC 2022 M/J Grade 8 Pre-Algebra Q1

Which work correctly uses properties of inequality to find the solution to –0.4x – 10 > 14?

Answer
A
–0.4x – 10 > 14 –0.4x > 4 x > –10
B
–0.4x – 10 > 14 –0.4x > 24 x > –60
C
–0.4x – 10 > 14 –0.4x > 4 x < –10
D
–0.4x – 10 > 14 –0.4x > 24 x < –60

Explanation

Add 10 to both sides of –0.4x – 10 > 14 to get –0.4x > 24. Dividing both sides by –0.4 gives x < –60; the inequality sign reverses because you divide by a negative number. Choice D correctly shows these steps.

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