Question
(d) Represent the following sets on a number line:
(1)
(1)
Upstudy AI Solution
Tutor-Verified Answer
Answer
Here’s how each set is represented on a number line:
-
Set (1): Integers between -3 and 7, not including -3 and 7.
- Representation: Open circles at -3 and 7, filled circles at -2, -1, 0, 1, 2, 3, 4, 5, 6.
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Set (2): All real numbers greater than or equal to -5.
- Representation: Closed circle at -5, arrow pointing to the right.
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Set (3): All real numbers between -2 and 4, including -2 but not 4.
- Representation: Closed circle at -2, open circle at 4, shaded line between -2 and 4.
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Set (4): All integers less than 3.
- Representation: Open circle at 3, filled circles at …, -3, -2, -1, 0, 1, 2.
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Set (5): All real numbers less than or equal to 6.5.
- Representation: Closed circle at 6.5, shaded line extending to the left.
-
Set (6): All real numbers greater than or equal to 2.5.
- Representation: Closed circle at 2.5, arrow pointing to the right.
-
Set (7): All integers less than -3.
- Representation: Open circle at -3, filled circles at …, -5, -4.
-
Set (8): All real numbers between 0 and 5, including 0 but not 5.
- Representation: Closed circle at 0, open circle at 5, shaded line between 0 and 5.
Each set is represented with appropriate circles and shading to indicate inclusion or exclusion of boundary points and the range of numbers included.
Solution
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