Sure, let's arrange each set of integers in increasing order.
### (i)
Original list: [tex]\(3, -5, -2, 1\)[/tex]
Step-by-step arrangement:
1. Identify the smallest number: [tex]\(-5\)[/tex]
2. Next smallest number: [tex]\(-2\)[/tex]
3. Next smallest number: [tex]\(1\)[/tex]
4. The largest number: [tex]\(3\)[/tex]
Result:
[tex]\[
-5, -2, 1, 3
\][/tex]
### (ii)
Original list: [tex]\(-1, -8, -7, -2\)[/tex]
Step-by-step arrangement:
1. Identify the smallest number: [tex]\(-8\)[/tex]
2. Next smallest number: [tex]\(-7\)[/tex]
3. Next smallest number: [tex]\(-2\)[/tex]
4. The largest number: [tex]\(-1\)[/tex]
Result:
[tex]\[
-8, -7, -2, -1
\][/tex]
### (iii)
Original list: [tex]\(-2, -4, 0, 2\)[/tex]
Step-by-step arrangement:
1. Identify the smallest number: [tex]\(-4\)[/tex]
2. Next smallest number: [tex]\(-2\)[/tex]
3. Next smallest number: [tex]\(0\)[/tex]
4. The largest number: [tex]\(2\)[/tex]
Result:
[tex]\[
-4, -2, 0, 2
\][/tex]
Summarizing the results:
1. For the list [tex]\(3, -5, -2, 1\)[/tex]:
[tex]\[
-5, -2, 1, 3
\][/tex]
2. For the list [tex]\(-1, -8, -7, -2\)[/tex]:
[tex]\[
-8, -7, -2, -1
\][/tex]
3. For the list [tex]\(-2, -4, 0, 2\)[/tex]:
[tex]\[
-4, -2, 0, 2
\][/tex]
These are the numbers arranged in increasing order for each set.
