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MAT1501 Assignment 1 Semester 1 Memo | Due March 2026

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MAT1501 Assignment 1 Semester 1 Memo | Due March 2026. All questions fully answered, Question 1 Suppose A = fx 2 R :

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ASSIGNMENT 1 SEMESTER 1
- • lll.L QUESTIONS FlllLL~ ANSWERED
------.+-~-1--DUJ: M~RE~ 2D2~ -+-----+----




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ACADEMIC MISCONDUCT RESULTING FROM TH IR USE. IT IS YOUR
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ONLY. 1D0 NDTtTAKE RESPbNSIBIL!ITY~FDR AN~ PLAGIARl~M. tMISUSE. DR

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RELEVANT GUIDELINES DR STANDARDS. t

, PLEASE USE THIS DOCUMENT AS A GUIDE TO ANSWER YOUR ASSIGNMENT

SECTION A

 Question 1

1.1. Draw A and B on two separate number lines

 For Set A: Draw a line starting with a solid circle at -2 and ending with an open circle at 5.
 For Set B: Draw a line starting with an open circle at -1 and ending with a solid circle at 6.


Set A
I
-3
•
-2
I
-1
I
0
I
1
I
2
I
3 4
I 0
5
I
6
A: [-2, 5)
Set B
I
-3 -2
I I
-1
0
0
I
1 2
I I
3 4
I I
5
•6
B: (-1, 6]


1. 2 Fmnd A LJ B and g11ve the answer ini interva I! notation

The unjon (A LJ B) represents all elements that are in either 5et A or set B (or both).

1. Lower Bound~ Set A starts at: - 2 (induded}, w-hich 'is further left than Set B's start at - ] .
So the union starts at - 2.

2. lll p per Bound~ Set 13 ends at 6 Oncludedt which js further rig ht thari Set A"s end at 5. So
the union ends at 6.

3. Conti nutty: S~nce the sets overfap (the region between - l and .5 is covered by both),
there ~s rio gap.

Cone ~us lon:


Au B = _-2, u]

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