Question
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Represent the following graphically. Give the answer in
interval notation (use the example as quideline).
2.3.
2.5. or
and
2.10 or .
2.11 and .
4.5 Present the following real numbers graptrically
All the rumbers brtween - 3 aud 0 as well as
from 2 up to 4 . (as well as’ means union)

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Tutor-Verified Answer

Answer

Here are the interval notations for each condition:
  1. 2.3:
  2. 2.5:
  3. 2.7:
  4. 2.10:
  5. 2.11:
  6. 4.5:

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The Deep Dive

Sure! Let’s break it down into graphical representations in interval notation:
  1. For :
    • Graphically, this represents all integers greater than -1 and up to and including 5. In interval notation: .
  2. For or :
    • This includes all real numbers from -3 up to, but not including 4, as well as numbers from 4 to just before 6. In interval notation: .
  3. For and :
    • The first part simplifies to , but since must also satisfy from the second part, the overlap gives us: in interval notation.
  4. For or :
    • The integers from -1 to just below 5 and those also including 4 to 6 yield: In interval notation: .
  5. For and :
    • The natural numbers include integers from 3 to just before 5, and then include 4 to 8, intersecting gives: .
  6. For “All the numbers between -3 and 0 as well as from 2 up to 4”:
    • This represents two ranges: from -3 to 0 and from 2 to 4. In interval notation: .
These conversions to interval notation will help illustrate the ranges clearly!

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