Select the best answer for the question. Use an inequality symbol ($<,>,=, \geq$) to compare -17 $\qquad$ -1
A. <
B. >
C. $\geq$
D. =
Answer (2)
We compare -17 and -1 on the number line.
Recognize that -17 is to the left of -1, meaning -17 is less than -1.
Use the 'less than' symbol, < , to represent the relationship.
The correct inequality is − 17 < − 1 .
Explanation
Understanding the Problem We need to compare two negative numbers, -17 and -1, and determine the correct inequality symbol to use.
Number Line Concept Recall that on the number line, numbers increase from left to right. Negative numbers further from zero are smaller than negative numbers closer to zero.
Comparing the Numbers Since -17 is further to the left of 0 than -1, it is smaller than -1. Therefore, -17 is less than -1.
Selecting the Correct Symbol The symbol for 'less than' is < . Therefore, the correct inequality is − 17 < − 1 . The answer is A.
Examples
Understanding inequalities is crucial in many real-world scenarios. For instance, when managing finances, knowing that -$17 is less than -$1 means you owe less money. Similarly, in science, comparing temperatures like -17°C and -1°C helps determine which is colder. These comparisons are fundamental in making informed decisions and understanding relative values.
The correct inequality symbol to compare -17 and -1 is '<', meaning -17 is less than -1. Therefore, the answer is A. Understanding the placement of negative numbers on the number line is key to making this comparison.
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