Answer:
Step-by-step 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
