Question

The second choice is "reverse" and "do not reverse"

Answer 1

• Divide by -8
• reverse

Explanation:

Multiplying or dividing an inequality by a negative number requires that the inequality symbol be reversed.

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To solve this inequality, we can divide by the coefficient of x, which is -8. Dividing by -8 means we need to reverse the inequality symbol.

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Additional comment

Actually, applying any function that has a negative slope means the ordering is reversed. That is the more general case.

Here, we're specifically concerned with division by a negative number. You can see the effect on the ordering relation by considering ...

• -2 < 1
• 2 > -1 . . . . divide both sides by -1