Problem 143 - Algebra and Trigonometry

Question

If you are given two real numbers, explain how to determine which is the lesser.

Step-by-Step Solution

Answer

The lesser number among two real numbers will be the one that falls to the left on the real number line.

Step 1: Understand the Numbers

First, understand the property of the real numbers. Real numbers fall on a number line, and understanding where numbers fall in relation to each other is important. Real numbers to the left on the number line are smaller than those to the right.

Step 2: Compare the Numbers

To find which number is smaller, simply determine their ordering on the number line. The number that appears or would appear to the leftmost is the lesser number. If the numbers are negative, then consider their absolute values i.e. the positive equivalent, and the one with the larger absolute value is the lesser number.

Step 3: Conclusion

After comparing both numbers in context of their position on real number line, the one falling on the left side is determined to be the smaller one.