Question
Show that the statement: is a real number such that is true by (i)Direct method(ii). method of contradiction (iii). method of contrapositive.
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Practice questions from similar books
Question 1
Rewrite the following statement with "if-then" in five different ways conveying the same meaning. If a natural number is odd then its square is also odd.Question 2
Given below are two pairs of statements. Combine these two statements using if and only if.(i) p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square.(ii) p: If the sum of digits of a number is divisible by 3, then the number is divisible by 3. q: If a number is divisible by 3, then the sum of its digits is divisible by 3.Question Text | Show that the statement:
is a real number such that
is true by
(i)Direct method(ii). method
of contradiction
(iii). method of contrapositive. |