# 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