In this section, with the help of some examples, you'll learn to use logical reasoning to prove statements that are true and
find counter examples to disprove statements that are false.
A statement and its converse say different things. In fact, some true statements
have false converse. An 'if-then' statement is false, if an example can be found
for which hypothesis is true and conclusion is false. Such an example is called
a counter example.
E.g. the statement "The perimeter of a rectangle can never be an odd number of units."
You know that the perimeter of rectangle is given by 2(l + w),
where l is the length and w is the width of the rectangle. Let
us take the values of l = 7units and w = 1.5 units, substitute
7 for l and 1.5 for w in above formula i.e. 2(7 + 1.5), which
gives 17. Therefore, this example is disproving the statement "The perimeter of
a rectangle can never be an odd number of units."
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