Rewrite each statement with > so that it uses < instead. Rewrite each statement with < so that it uses >. See Example 6. 6 > 2

Verified step by step guidance

1. Identify the inequality symbol in the given statement. Here, the symbol is '>'.
2. Recall that the inequality 'a > b' means 'a is greater than b'. To rewrite it using '<', we reverse the inequality and swap the two sides.
3. Rewrite the statement '6 > 2' by swapping the sides and changing '>' to '<', resulting in '2 < 6'.
4. Verify that the new inequality '2 < 6' expresses the same relationship as the original statement but uses the '<' symbol.
5. Practice this method with other inequalities: for any 'a > b', rewrite as 'b < a', and for any 'a < b', rewrite as 'b > a'.

Key Concepts

Inequality Symbols and Their Meanings

Inequality symbols like > (greater than) and < (less than) compare two values, indicating their relative size. Understanding what each symbol represents is essential to correctly rewrite statements by reversing the inequality.

Reversing Inequalities

When rewriting inequalities, changing a 'greater than' (>) to a 'less than' (<) or vice versa involves flipping the direction of the inequality symbol. This concept is fundamental to correctly transforming statements without altering their truth.

Contextual Application of Inequalities

Applying inequalities in different contexts, such as numerical comparisons or algebraic expressions, requires careful attention to the direction of the inequality. This ensures accurate interpretation and rewriting of statements as instructed.