We mentioned that the subset notation, ⊆ , and the notation for “less than or equal to,” ≤ , appear to be similar. In Exercises 67 and 68, for each property of ≤ , state the corresponding property of ⊆ . Next, convince yourself that the newly stated property is indeed a valid set theory property. If a ≤ b and b ≤ a , then a = b .
We mentioned that the subset notation, ⊆ , and the notation for “less than or equal to,” ≤ , appear to be similar. In Exercises 67 and 68, for each property of ≤ , state the corresponding property of ⊆ . Next, convince yourself that the newly stated property is indeed a valid set theory property. If a ≤ b and b ≤ a , then a = b .
Solution Summary: The author explains the property of the subset notation, subseteq , which appears to be similar to "less than or equal to."
We mentioned that the subset notation,
⊆
, and the notation for “less than or equal to,”
≤
, appear to be similar. In Exercises 67 and 68, for each property of
≤
, state the corresponding property of
⊆
. Next, convince yourself that the newly stated property is indeed a valid set theory property.
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
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