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Show that the following statement is true by the method of contrapositive. p: If x is an integer and is even, then x is also even.
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Practice questions from similar books
Question 1
Write the negation of the following statements:(i) Chennai is the capital of Tamil Nadu
(ii) is not a complex number
(iii) All triangles are not equilateral triangle
(iv) The number is greater than
(v) Every natural number is an integer
Question 2
Write the negation of the following statement: There is a complex
number which is not a real number.Question 3
For each of eth following statements, determine whether an inclusive OR
or exclusive OR is used. Give reasons for your answer:
Two lines intersected at a point or are parallel.
The school is closed if it is a holiday or a Sunday.Question 4
Write the contrapositive and converse of the following statements(i) If is a prime number then is odd
(ii) It the two lines are parallel then they do not intersect in the same plane
(iii) Something is cold implies that it has low temperature
(iv) You cannot comprehend geometry if you do not know how to reason deductively
(v) is an even number implies that is divisible by
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| Question Text | Show that the following statement is true by the method of contrapositive. p: If x is an integer and is even, then x is also even. |
