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Show that the following statement is true “The integer n is even if and only if n2 is even”
Show that the following statement is true “The integer n is even if and only if n2 is even”
CBSE | Class 11 | Exercise 31.6 | Mathematical Reasoning | Maths | RD Sharma
Show that the following statement is true “The integer n is even if and only if n2 is even”

Answer:

Consider,

p: Integer n is even

q: If n2 is even

Let p be true.

Let n = 2k

Squaring both the sides,

n2 = 4k2

n2 = 2.2k2

n2 is an even number.

q is true when p is true.

The statement is true.

i

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