The inclusive class interval are also called:
(A) discontinuous class intervals
(B) continuous class intervals
(C) unequal class intervals
(D) higher class intervals
Answer
647.1k+ views
Hint: We will first write the general form of inclusive class interval. Then, determine its nature by writing its roaster form. Also, we will plot the interval by taking any relevant example of inclusive class interval to select the correct option.
Complete step-by-step answer:
The inclusive class interval is of the form $\left[ {a,b} \right]$.
Here, both the numbers are included in the sets, that is, \[a\] and \[b\].
In the roaster form, we can write it as $\left\{ {x:a \leqslant x \leqslant b} \right\}$
The above representation does not represent a discontinuous class as it includes all the elements from $a$ to $b$.
If we have an interval for example, $\left[ {2,3} \right]$, then it includes all the real numbers from point 2 to 3.
If we represent this on a number line, we will get,
The interval $\left( {2,3} \right)$ is represented by a continuous line.
Hence, the inclusive intervals are also known as continuous class intervals.
Thus, option B is correct.
Note: The interval of the type $\left( {a,b} \right)$ is when $a$ and $b$ are included in the interval but still is a continuous class interval. Unequal class interval is the case when the length of class intervals are not the same.
Complete step-by-step answer:
The inclusive class interval is of the form $\left[ {a,b} \right]$.
Here, both the numbers are included in the sets, that is, \[a\] and \[b\].
In the roaster form, we can write it as $\left\{ {x:a \leqslant x \leqslant b} \right\}$
The above representation does not represent a discontinuous class as it includes all the elements from $a$ to $b$.
If we have an interval for example, $\left[ {2,3} \right]$, then it includes all the real numbers from point 2 to 3.
If we represent this on a number line, we will get,
The interval $\left( {2,3} \right)$ is represented by a continuous line.
Hence, the inclusive intervals are also known as continuous class intervals.
Thus, option B is correct.
Note: The interval of the type $\left( {a,b} \right)$ is when $a$ and $b$ are included in the interval but still is a continuous class interval. Unequal class interval is the case when the length of class intervals are not the same.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Name 10 Living and Non living things class 9 biology CBSE

What is the full form of pH?

What is pollution? How many types of pollution? Define it

On an outline map of India show its neighbouring c class 9 social science CBSE

