Question

Which number line represents the solution to |x - 21| < 3?

1) a number line with numbers 6 to 32 in increments of 2 to the right. an open circle is at 18 and the other open circle is at 24 with shading between 18 and 24.
2) a number line with numbers 6 to 32 in increments of 2 to the right. an open circle is at 18 with shading to the left. the other open circle is at 24 with shading to the right.
3) a number line with numbers 6 to 32 in increments of 2 to the right. a closed circle is at 18 and the other closed circle is at 24 with the line shaded between 18 and 24.
4) a number line with numbers 6 to 32 in increments of 2 to the right. a closed circle is at 18 with shading to the left. the other closed circle is at 24 with shading to the right.

Answer 1

The solution to |x - 21| < 3 can be found by determining the values of x that are within a distance of 3 units from 21. The number line that represents the solution is option 1.

Step-by-step explanation:

The solution to |x - 21| < 3 can be found by determining the interval of values for x that satisfy the inequality. In this case, since the absolute value is less than 3, we want to find the values of x that are within a distance of 3 units from 21.

The number line that represents the solution is option 1. It has open circles at 18 and 24, indicating that these values are not included in the solution set. The shading between 18 and 24 shows that all the values between these two numbers, but not including them, satisfy the inequality.