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ConceptMathematical Logic - Statement Patterns and Logical Equivalence

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#### Question

Express the following statement in symbolic form and write its truth value.

"If 4 is an odd number, then 6 is divisible by 3 "

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Using truth table examine whether the following statement pattern is tautology, contradiction or contingency ``

Write the dual of the following statements:

(l) (p ∨ q) ∧ T

(2) Madhuri has curly hair and brown eyes .

Prove that the following statement pattern is equivalent :

(p ∨ q) r and (p → r) ∧ (q → r)

Examine whether the following logical statement pattern is tautology, contradiction or contingency.

[(p → q) ∧ q] → p

Write the converse and contrapositive of the statement — “If two triangles are congruent, then their areas are equal.”

Solution for concept: Mathematical Logic - Statement Patterns and Logical Equivalence. For the courses 12th HSC Arts, 12th HSC Commerce, 12th HSC Commerce (Marketing and Salesmanship), 12th HSC Science (Computer Science), 12th HSC Science (Electronics), 12th HSC Science (General)