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Dividing Each Side of an Inequality by a Negative Number

Consider the inequality

20 > 10


Let us consider another example.

Consider the inequality

10 < 20


In general:

If both sides of an inequality are divided by the same negative number, then:


Example 28

Solution:


Example 29

Solution:


Just to recap the foregoing discussion:
  • The same number can be added to or subtracted from both sides of an inequality.
  • Both sides of an inequality can be multiplied or divided by the same positive number.
  • If an inequality is multiplied (or divided) by a negative number, then:


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