#### 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?

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.