Chapter 1, Problem 1RE

To determine

To compare: The given numbers using inequalities.

Answer to Problem 1RE

The two inequalities that compares 142 and 187 are $142<187\text{ or }187>142$.

Explanation of Solution

Procedure used:

“1. Position the numbers on a number line.

2. Select the number that is farther to the left to be the smaller number.

3. Write the inequality using less than symbol is, $\text{smaller number }<\text{ larger number}$ or write the inequality using greater than symbol is, $\text{larger number }>\text{ smaller number}$.”

Calculation:

The given numbers are 142 and 187.

The number 142 is to the left of 187 on a number line.

Therefore, 142 is the smaller number and 187 is the larger number.

Thus, the two inequalities that compares 142 and 187 are $142<187\text{ or }187>142$.