Respuesta :
An absolute value equation to satisfy the given solution set shown on a number line is -1/2 ≤ a ≤ 1/2.
What is magnitude and sign?
A number has both magnitude(its absolute value) and its sign(positive or negative).
Thus, for -5, the magnitude is 5, and sign is –ve.
Also, positive numbers > 0 > negative numbers.
In the number line we can clearly see that our possible values of a are in the range:
-1/2 ≤ a ≤ 1/2
And we need to find an absolute value equation such that this set is the set of possible solutions.
An example can be:
Ia - 1/2I ≤ 1/2
Notice; using the minor and equal sign, this is because the black dots means that the values a = -1/2 and a = 1/2 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.
Learn more about this concept;
https://brainly.com/question/17043725
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