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# Are the Following Pairs of Statements Negations of Each Other? the Number X is a Rational Number. the Number X is an Irrational Number. - CBSE (Arts) Class 11 - Mathematics

ConceptNew Statements from Old

#### Question

Are the following pairs of statements negations of each other?

The number x is a rational number.

The number x is an irrational number.\

#### Solution

The negation of the first statement is “the number x is not a rational number”. This means that the number x is an irrational number, which is the same as the second statement.

Therefore, the given statements are negations of each other.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 14: Mathematical Reasoning
Q: 2.2 | Page no. 329

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Solution Are the Following Pairs of Statements Negations of Each Other? the Number X is a Rational Number. the Number X is an Irrational Number. Concept: New Statements from Old.
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