Algebra True or False? If false, give a counterexample. 1. For all sets S and T, SUT=SUT. 2. The following is a tautology: p-→q+(pAq). 3. For all functions f:A - B and g:B+ C, ifgf is one-to-one, then g is one-to-one. 4. If R is an equivalence relation on a set A, then the equivalence classes of R form a partition of A.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Algebra
True or False? If false, give a counterexample.
1. For all sets S and T, SUT=SUT.
2 The following is a tautology: p-→q(pAq).
3. For all functions f: A>B and g: B C, if g fis one-to-one, then g is one-to-one.
4. If R is an equivalence relation on a set A, then the equivalence classes of R form a partition of A.
Transcribed Image Text:Algebra True or False? If false, give a counterexample. 1. For all sets S and T, SUT=SUT. 2 The following is a tautology: p-→q(pAq). 3. For all functions f: A>B and g: B C, if g fis one-to-one, then g is one-to-one. 4. If R is an equivalence relation on a set A, then the equivalence classes of R form a partition of A.
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