Inequality Multiplication Property

if the following are true:

  • a < b
  • c > 0

then a ⋅ c < b ⋅ c

This property allows us to multiply a positive value to both sides of the operator.

Here are some examples:

  1. if 3 < 7, then 3 ⋅ 5 < 7 ⋅ 5

  2. if x < 10, then x ⋅ 8 < 10 ⋅ 8

  3. if the following are true:

    • 3 ⋅ m < 15 + n
    • x > 0

    then (3 ⋅ m) ⋅ x < (15 + n) ⋅ x

Quiz (1 point)

Suppose that m < n

Please fill in the blank:

m ⋅ 5 < ________

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