Write the following subsets of R as intervals: { x : x ∈ R , - 4 < x ≤ 6 }

Let C = { x : x ∈ R , - 4 < x ≤ 6 } An interval in which one endpoint is included but not the other is called a semi-open interval. It is denoted by mixing the notations for open and closed intervals i.e., [ a , b ) or ( a , b ] , where a , b are the endpoints of the set and square bracket means endpoints are included, parentheses means end points are not included. In the given set - 4 is not included and 6 is included. Therefore, the given set as an interval is ( - 4 , 6 ]

Write the following subset of R as intervals: { x : x ∈ R , - 12 < x < - 10 }

Let S = { x : x ∈ R , - 12 < x < - 10 } The set S is defined as the all real number of - 12 to - 10 with open intervals. Thus, the interval of S is ( - 12 , - 10 ) .

Write the following subset of R as intervals: x : x ∈ R , 0 ≤ x < 7

Given: Let B = { x : x ∈ R , 0 ≤ x < 7 } An interval in which one endpoint is included but not the other is called a semi-open interval. It is denoted by mixing the notations for open and closed intervals i.e., [ a , b ) or ( a , b ] , where a , b are the endpoints of the set and square bracket means endpoints are included, parentheses means end points are not included. In the given set 0 is included and 7 is not included. Therefore, the given set as an interval is [ 0 , 7 )

Write the following subset of R as intervals: x : x ∈ R , 3 ≤ x ≤ 4

Let S = { x : x ∈ R , 3 ≤ x ≤ 4 } We know that for ≤ , we need to use closed interval. The set S is defined as the all real number of 3 to 4 including 3 and 4 . Thus, the interval of S is 3 , 4 .

E M B I B E

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>SELF EVALUATION TEST

A P Prabhakaran Solutions for Chapter: Sets, Exercise 2: SELF EVALUATION TEST

Author:A P Prabhakaran

A P Prabhakaran Mathematics Solutions for Exercise - A P Prabhakaran Solutions for Chapter: Sets, Exercise 2: SELF EVALUATION TEST

Attempt the free practice questions on Chapter 1: Sets, Exercise 2: SELF EVALUATION TEST with hints and solutions to strengthen your understanding. Golden MATHEMATICS CLASS 11 solutions are prepared by Experienced Embibe Experts.

Questions from A P Prabhakaran Solutions for Chapter: Sets, Exercise 2: SELF EVALUATION TEST with Hints & Solutions

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>SELF EVALUATION TEST>Q 3

Write the following subsets of $R$ as intervals:

${x : x \in R, - 4 < x \leq 6}$

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>SELF EVALUATION TEST>Q 3

Write the following subset of $R$ as intervals:

${x : x \in R, - 12 < x < - 10}$

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>SELF EVALUATION TEST>Q 3

Write the following subset of $R$ as intervals:

$\{x : x \in R, 0 \leq x < 7\}$

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>SELF EVALUATION TEST>Q 3

Write the following subset of $R$ as intervals:

$\{x : x \in R, 3 \leq x \leq 4\}$

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>SELF EVALUATION TEST>Q 8

If $A, B, C$ are three sets and $U$ is the universal set such that $n (U) = 700, n (A) = 200, n (B) = 300$ and $n (A \cap B) = 100$ . Find $n (A^{'} \cap B^{'})$

HARD

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>SELF EVALUATION TEST>Q 9

In a survey, it was found that $21$ people liked the product $A$ , $26$ liked the product $B$ , and $29$ people liked the product $C$ . If $14$ people liked the product $A$ and $B$ , $12$ people liked the product $C$ and $A$ , $14$ people liked the product $B$ and $C$ and $8$ people liked all the products. Find how many people like the product $C$ only.

HARD

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>SELF EVALUATION TEST>Q 9

In a survey, it was found that $21$ people liked the product $A$ , $26$ liked the product $B$ , and $29$ people liked the product $C$ . If $14$ people liked the product $A$ and $B$ , $12$ people liked the product $C$ and $A$ , $14$ people liked the product $B$ and $C$ and $8$ people liked all the products. Find how many people like products $A$ and $C$ not $B$ .

HARD

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>SELF EVALUATION TEST>Q 9

In a survey, it was found that $21$ people liked the product $A$ , $26$ liked the product $B$ , and $29$ people liked the product $C$ . If $14$ people liked the product $A$ and $B$ , $12$ people liked the product $C$ and $A$ , $14$ people liked the product $B$ and $C$ and $8$ people liked all the products. Find how many people like at least one of the products.

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