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Order the following pair of numbers using [tex]\(\ \textless \ \)[/tex], [tex]\(\ \textgreater \ \)[/tex], or [tex]\(=\)[/tex]: [tex]\(4\)[/tex] [tex]\(\qquad\)[/tex] [tex]\(-|-9|\)[/tex]

Select the correct answer below:

A. [tex]\(\ \textless \ \)[/tex]

B. [tex]\(\ \textgreater \ \)[/tex]

C. [tex]\(=\)[/tex]

Sagot :

GinnyAnswer
To determine the correct order of the given pair of numbers [tex]\(4\)[/tex] and [tex]\(-|-9|\)[/tex], we need to follow a few steps.

1. Evaluate the expression [tex]\(-|-9|\)[/tex]:
- First, find the absolute value of [tex]\(-9\)[/tex]. The absolute value of [tex]\(-9\)[/tex] is [tex]\(9\)[/tex]. This is because the absolute value function removes the negative sign and returns the non-negative magnitude of the number.
- Next, apply the negative sign outside the absolute value. So, [tex]\(-|9|\)[/tex] becomes [tex]\(-9\)[/tex].

2. Compare the two numbers:
- Now we have the numbers [tex]\(4\)[/tex] and [tex]\(-9\)[/tex] to compare.
- Clearly, [tex]\(4\)[/tex] is greater than [tex]\(-9\)[/tex], as any positive number is greater than any negative number.

Thus, the correct relationship between the numbers [tex]\(4\)[/tex] and [tex]\(-|-9|\)[/tex] is

[tex]\[ 4 > -|-9| \][/tex]

The correct answer is:

[tex]\[ > \][/tex]
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