Answer :
Final answer:
The x-values that are a distance of 16 or less from 7 can be found by determining the range of numbers that fall within 16 units to the right and left of 7 on a number line. Therefore, these x-values satisfy -9 ≤ x ≤ 23.
Explanation:
To find all the x-values that are a distance of 16 or less from the number 7, we basically need to find the values of x that fall within an interval of 16 units radius centered at the number 7 on the number line. In other words, the value of x should be no more than 16 units away from 7 in either direction. Therefore, all the possible values of x would fall between 7 - 16 (which equals -9) and 7 + 16 (which equals 23). Thus all x-values, x, satisfy -9 ≤ x ≤ 23.
To visualize this, you can imagine a number line, with 7 at the center. The distance 16 units to the right of 7 reaches to 23, and the distance 16 units to the left of 7 reaches to -9.
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