# Rewrite the following statement without using if ...... then. It 2 is a rational number then 2 is irrational number. - Mathematics and Statistics

Sum

Rewrite the following statement without using if ...... then.

It 2 is a rational number then sqrt2 is irrational number.

#### Solution

Since p → q ≡ ∼ p ∨ q, the given statement can be written as:
2 is not a rational number or sqrt2 is irrational number.

Concept: Algebra of Statements
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