Question
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)
interval notation (use the example as quideline).
2.3.
2.5.
2.10
2.11
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)
Upstudy AI Solution
Tutor-Verified Answer
Answer
Here are the interval notations for each condition:
- 2.3:
- 2.5:
- 2.7:
- 2.10:
- 2.11:
- 4.5:
Solution

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The Deep Dive
Sure! Let’s break it down into graphical representations in interval notation:
-
For
: - Graphically, this represents all integers greater than -1 and up to and including 5. In interval notation:
.
- Graphically, this represents all integers greater than -1 and up to and including 5. In interval notation:
-
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:
.
- 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:
-
For
and : - The first part simplifies to
, but since must also satisfy from the second part, the overlap gives us: in interval notation.
- The first part simplifies to
-
For
or : - The integers from -1 to just below 5 and those also including 4 to 6 yield: In interval notation:
.
- The integers from -1 to just below 5 and those also including 4 to 6 yield: In interval notation:
-
For
and : - The natural numbers include integers from 3 to just before 5, and then include 4 to 8, intersecting gives:
.
- The natural numbers include integers from 3 to just before 5, and then include 4 to 8, intersecting gives:
-
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:
.
- 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!