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Proof by mathematical induction

Write the con...

Question

Write the converse of the statement 'x is an even number implies that x is divisible by 4'

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Solution

If x is divisible by 4, then x is an even number

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Similar questions

Q. Write the contrapositive and converse of the following statements
(i) If

x

is a prime number then

x

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)

x

is an even number implies that

x

is divisible by

4

Write the contrapositive and converse of the following statements.

(i) If x is a prime number, then x 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) x is an even number implies that x is divisible by 4

Q. Assertion :The contrapositive and converse of the statement: "If

x

is a prime number, then

x

is odd" are:
Contrapositive: "If

x

is not odd, then

x

is not a prime number.
Converse: If

x

x

is a prime number. Reason: If statement

p

q

, then its contrapositive is

\sim q

\sim p

, and its converse is

q

p

.

Q. Deduct the conclusion using following statements.
'54 is an even number', 'Even numbers are divisible by 2'

Q. The converse of converse of the statement

p ⟹ \sim q

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