Alright, let's match each expression on the left with its simplified form on the right.
1. Expression: [tex]\(-5\)[/tex]
- Simplified Form: [tex]\(-5\)[/tex]
- Here, the expression [tex]\(-5\)[/tex] is already simplified and equals [tex]\(-5\)[/tex].
2. Expression: [tex]\(|-5|\)[/tex]
- Simplified Form: 5
- The absolute value of [tex]\(-5\)[/tex] removes the negative sign, hence [tex]\(|-5| = 5\)[/tex].
3. Expression: [tex]\(|5|\)[/tex]
- Simplified Form: 5
- The absolute value of 5 remains 5 as it is already positive, hence [tex]\(|5| = 5\)[/tex].
4. Expression: [tex]\(-|151|\)[/tex]
- Simplified Form: [tex]\(-151\)[/tex]
- The absolute value of 151 removes any sign, leaving 151, then adding a negative sign gives us [tex]\(-|151| = -151\)[/tex].
5. Expression: [tex]\(-|-5|\)[/tex]
- Simplified Form: [tex]\(-5\)[/tex]
- The absolute value of [tex]\(-5\)[/tex] is 5, and then applying the negative sign gives us [tex]\(-|-5| = -5\)[/tex].
Now, let's summarize the matches:
1. [tex]\((-5) \rightarrow -5\)[/tex]
2. [tex]\(|-5| \rightarrow 5\)[/tex]
3. [tex]\(|5| \rightarrow 5\)[/tex]
4. [tex]\(-|151| \rightarrow -151\)[/tex]
5. [tex]\(-|-5| \rightarrow -5\)[/tex]
So, the final matched pairs are:
[tex]\[
((-5, -5), (5, 5), (5, 5), (-151, -151), (-5, -5))
\][/tex]
