Pregunta
Solución de inteligencia artificial de Upstudy
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Solución
We first recall that the absolute value of a number is always non‐negative. In particular, for any real number
we have
-
Compute the absolute values:
-
-
Compare the numbers. Sincewe have:
Thus, replacing the square with the appropriate symbol (namely, the “less than” symbol), we complete the statements as follows:
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Beyond the Answer
First, we evaluate the absolute values:
and
. Thus,
, so we can complete the statement as follows:
.
Next, we look at the second set:
and
. Again,
, so we can complete that statement as
.
So, the completed statements are:

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