Question

5 when given a pair of numbers in a real-world situation, how can you compare the numbers using < and >? how can an inequality help you interpret the comparison in the real-world situation?

Explanation:

To compare two real - world numbers with \(<\) or \(>\), first understand what the numbers represent (e.g., money, weight, time). Then, determine which quantity is larger or smaller. For example, if we have two people's salaries, say \( \$3000\) and \( \$4000\), we can write \(3000 < 4000\) to show the first salary is less than the second. Inequalities help interpret real - world situations by showing relationships like "more than", "less than", "at least", or "at most". For instance, if a store has a sale where an item's price \(x\) is less than \( \$50\) (\(x < 50\)), it tells us the price range of the item during the sale.

Answer:

To compare real - world numbers with \(<\) or \(>\), analyze what the numbers represent (e.g., amounts, measurements) and determine their relative sizes. Inequalities interpret real - world situations by showing relationships (e.g., "less than", "more than") between quantities, helping to understand ranges or comparisons (e.g., a budget constraint \(y<100\) shows \(y\) is less than 100 units of currency).