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Two pairs of statement are:
p: If a quadrilateral is a rectangle, then its opposite sides are equal.
q: If opposite sides of a quadrilateral are equal, then the quadrilateral is a rectangle.
The combined statement of these pairs using “If and only if” is:
Write the contra positive of the given statement If 7 < 0 then 7 > 0
The contra positive of a statement p ⇒ q, is the statement
Name the technique used in the first step of the soluntion of the problem below :
Verify that √5 is irrational
Solution ; Let us assume that √5 is rational
If p and q are mathematical statements, then in order to show that the statement “p and q” is true, we need to show that:
In order to prove the statement “If p then q” we need to show that:
In order to prove the statement “p if and only if q” we need to show:
The component statements are:
p: You are wet when it rains.
q: You are wet when you are in river.
The compound statement of these component statements using appropriate connective is:
Which option is not same as “if p then q”?
Name the technique used in the solution of the problems below :
Question: Show that the following statement is false: If n is an odd integer, then n is prime.
Solution: The given statement is in the form “if p then q” we have to show that this is false, If p then ~q.
n = 99 is odd integer which is not a prime number. Thus, we conclude that the given statement is false.
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157 videos210 docs132 tests
