Sets questions | form five Pure Advanced Mathematics

Using the basic properties of set operation, simplify each of the following expressions.

1. (AnB')U(AUB')
2. (AnB)U(A'nB)U(AnB')

Answer / Solution

UNSOLVED

In a class of 35 students , each student takes either one or two language subjects(English, literature and Kiswahili). If 13 students take literature, 22 students take English, 17 students take Kiswahili, 6 students take both language and literature, 3 students take both Kiswahili and literature, find the number of students who take

1. Both Kiswahili and English
2. Just one subject
3. Literature but not English

Answer / Solution

UNSOLVED

Define disjoint of two sets A and B.

Use the laws of algebra of sets to show that AB and B are disjoint.

Answer / Solution

UNSOLVED

Use the laws of algebra of sets to simplify the following:

1. [An(A'UB)] U [Bn(A'UB')]
2. [(AnB)U(AnB')U(A'nB')]'

Answer / Solution

UNSOLVED

At jagwani Secondary school , thirth five students are taking economics, those who take mathematics are two-third of those who take economics and geography. Those who take economics only are twice of those who take geography only. All who take mathematics take economics or geography.Forty eight students take mathematics or economics or geography. Those who take economics and mathematics are one seventh as many as those who take economics. Those who take economics and geography are one quarter of those who take economics or geography or mathematics.

By using Venn diagram find the number of students who are taking

1. At most two subjects
2. Geography and mathematics but not economics
3. Mathematics or or economics but not geography
4. At least two subjects 

Answer / Solution

UNSOLVED