Exercise 1.10 (1)

1. Represent the truth of each of the following statements by Venn diagrams.
i) Some hardworking students are obedient.
Ans: 
Let
U : The set of all students.
H : The set of all hardworking Students.
O : The set of all obedient students.

The venn diagram represents truth of the given statement, i.e H∩O≠∅

ii) No circles are polygons.
Ans: 
Let
U : The set of all closed geometrical figures in plane.
P : The set of all polygons
C : The set of all circles.

The venn diagram represents truth of the given statement, i.e P∩C=∅

iii) All teachers are scholars and scholars are teachers.
Ans: 
Let
U : The set of all human beings.
T : The set of all teachers
S : The set of all Scholars

The venn diagram represents truth of the given statement, i.e T=S

iv) If a quadrilateral is a rhombus, then it is a parallelogram.
Ans:  
Let
U : The set of all quadrilaterals.
P : The set of all parallelograms.
R : The set of all rhombuses.

The venn diagram represents truth of the given statement, i.e R⊂P