Question

Which of the following inequalities represents all the numbers between -5 and 5 on the number line?

A) |x| ≤ 5
B) |x| < 5
C) |x| ≥ 5
D) |x| > 5

Answer 1

The correct inequality for all numbers between -5 and 5 is |x| ≤ 5, which includes -5 and 5 and all numbers in between.

Step-by-step explanation:

The inequality that represents all the numbers between -5 and 5 on the number line is |x| ≤ 5. This means that the absolute value of x is less than or equal to 5, which includes all real numbers from -5 to 5 inclusive. To visualize this, imagine the number line, and any number whose absolute value is 5 or less will lie within the segment from -5 to 5, including the endpoints.