Make a copy of the Venn diagram below for the following question. Shade the part of the Venn diagram that represents: B

Given Venn diagram is as follows: In the above diagram, the universal set is represented by a rectangle denoted by U , it is the set containing all the elements, and the sets A and B are the subsets of U which are represented by the circles. Since the sets A and B are intersecting, it means they have few elements in common. Thus, the region which represents set B is given as follows:

Make a copy of the Venn diagram below for the following question. Shade the part of the Venn diagram that represents: B '

Given Venn diagram is as follows: In the above diagram, the universal set is represented by a rectangle denoted by U , it is the set containing all the elements, and the sets A and B are the subsets of U which are represented by the circles. Since the sets A and B are intersecting, it means they have few elements in common. Thus, the region which represents set B is given as follows: We know that the complement of a set is the set that includes all the elements of the universal set that are not present in the given set . Thus, the complement of set B is given by B ' = U - B Thus, to represent the set B ' , we need to leave the shaded region representing set B , and we need to shade the rest part. So, the region that represents the set B ' is shaded as follows:

Make a copy of the Venn diagram below for the following question. Shade the part of the Venn diagram that represents: A ∩ B

Given Venn diagram is as follows: In the above diagram, the universal set is represented by a rectangle denoted by U , it is the set containing all the elements and of which other sets are the subsets. Here, the sets A and B are the subsets of U which are represented by the circles. Since the sets A and B are intersecting, it means they have few elements in common. Since the region included in both A and B , where the two sets overla p , is called the intersection of A and B , denoted by A ∩ B . Thus, the shaded part of the Venn diagram that represents A ∩ B is as follows:

Make a copy of the Venn diagram below for the following question. Shade the part of the Venn diagram that represents: A ∪ B '

Given Venn diagram is as follows: In the above diagram, the universal set is represented by a rectangle denoted by U , it is the set containing all the elements and of which other sets are the subsets. Here, the sets A and B are the subsets of U which are represented by the circles. Since the sets A and B are intersecting, it means they have few elements in common. We know that B ' represents the complement of a set B that includes all the elements of the universal set except that belongs to set B . The shaded region given below represents B ' Now, the shaded region representing set A is given below Now, the union of two set A and B ' is the set that consist of all the elements of set A and all the elements of set B ' , and the common elements being taken only once. Thus, the shaded region representing the set A ∪ B ' is given as follows:

Make a copy of the Venn diagram below for the following question. Shade the part of the Venn diagram that represents: ( A ∩ B ) '

Given Venn diagram is as follows: In the above diagram, the universal set is represented by a rectangle denoted by U , it is the set containing all the elements and of which other sets are the subsets. Here, the sets A and B are the subsets of U which are represented by the circles. Since the sets A and B are intersecting, it means they have few elements in common. Now, the shaded region representing set A is given below And, the shaded region representing set B is given as follows: Now, the intersection of two sets A and B is the set of all those elements which belong to both A and B . Thus, the region representing the set A ∩ B is given below We know that the complement of a set is the set of all elements that belong to the universal set U except the elements of that set itself. Thus, the shaded region representing set A ∩ B ' is given as follows:

Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 1: You should already know how to:

Author:Rose Harrison, Clara Huizink, Aidan Sproat Clements & Marlene Torres Skoumal

Rose Harrison Mathematics Solutions for Exercise - Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 1: You should already know how to:

Attempt the free practice questions from Exercise 1: You should already know how to: with hints and solutions to strengthen your understanding. Extended MYP Mathematics A Concept based approach Years 4 & 5 solutions are prepared by Experienced Embibe Experts.

Questions from Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 1: You should already know how to: with Hints & Solutions

MEDIUM

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 5 - Independent Events and Conditional Probability>You should already know how to:>Q 1

Caesar's new playlist contains ten songs from the $1980 s$ and eight songs from the $1990 s$ . He selects two songs at random, without choosing the same song twice. Draw a tree diagram to represent this situation.

MEDIUM

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 5 - Independent Events and Conditional Probability>You should already know how to:>Q 1

Caesar's new playlist contains ten songs from the $1980 s$ and eight songs from the $1990 s$ . He selects two songs at random, without choosing the same song twice. Find the probability that two songs are both from the $1980 s$ .

MEDIUM

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 5 - Independent Events and Conditional Probability>You should already know how to:>Q 4

There are $33$ students taking Art and $28$ students taking Biology. There are $7$ students taking both subjects. Represent this with a Venn diagram.

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 5 - Independent Events and Conditional Probability>You should already know how to:>Q 5

Make a copy of the Venn diagram below for the following question.

Question Image