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Question
- why is the inequality sign reversed in the last two steps of exercise 2?
When solving inequalities, a core rule is that multiplying or dividing both sides by a negative number reverses the direction of the inequality sign. The last two steps of Exercise 2 must involve multiplying or dividing the inequality by a negative value, which requires flipping the inequality sign to maintain the truth of the statement.
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The inequality sign is reversed because the last two steps involve multiplying or dividing both sides of the inequality by a negative number, which is a required rule to keep the inequality valid.