English
Maharashtra State BoardSSC (English Medium) 9th Standard

Write the subset relations between the following sets. X = set of all quadrilaterals. Y = set of all rhombuses. S = set of all squares. T = set of all parallelograms. V = set of all rectangles. - Algebra

Advertisements
Advertisements

Question

Write the subset relations between the following sets.

X = set of all quadrilaterals.  
Y = set of all rhombuses.
S = set of all squares.  
T = set of all parallelograms.
V = set of all rectangles.
Sum
Advertisements

Solution

  1. Rhombus, squares, parallelograms and rectangles all are quadrilateral.
    ∴ Y ⊆ X, S ⊆ X, T ⊆ X, V ⊆ X
  2. Every square is a rhombus, parallelogram and rectangle.
    ∴ S ⊆ Y, S ⊆ T, S ⊆ V
  3. Every rhombus and rectangle is a parallelogram.
    ∴ Y ⊆ T, V ⊆ T
shaalaa.com
Subset
  Is there an error in this question or solution?
Chapter 1: Sets - Problem Set 1 [Page 18]

APPEARS IN

RELATED QUESTIONS

If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e} then the following statement is true or false?

C  ⊆ B

If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e} then the following statement is true or false?

D ⊆ B


If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e} then the following statement is true or false?

C ⊆ A


A = {1, 3, 2, 7} then write any three subsets of A.


Find the subset of the following set:

A = {5, 7}


Find the subset of the following set:

C = {x : x ∈ W, x ≤ 2}


If C is the set of letters in the word “cooler”, find: The number of its subsets.


Given, A = {Triangles}, B = {Isosceles triangles}, C = {Equilateral triangles}. State the following statement is true or false. Give reasons.
A ⊂ B


Given, A = {Triangles}, B = {Isosceles triangles}, C = {Equilateral triangles}. State the following statement is true or false. Give reasons.

B ⊆ A


Given, A = {Triangles}, B = {Isosceles triangles}, C = {Equilateral triangles}. State the following statement is true or false. Give reasons.

C ⊆ B


Given, A = {Quadrilaterals}, B = {Rectangles}, C = {Squares}, D= {Rhombuses}. State the following statement is true or false. Give reasons.

B ⊂ C


Given, A = {Quadrilaterals}, B = {Rectangles}, C = {Squares}, D= {Rhombuses}. State the following statement is true or false. Give reasons.

D ⊂ B


Given, A = {Quadrilaterals}, B = {Rectangles}, C = {Squares}, D= {Rhombuses}. State the following statement is true or false. Give reasons.

C ⊆ B ⊆ A


Given, A = {Quadrilaterals}, B = {Rectangles}, C = {Squares}, D= {Rhombuses}. State the following statement is true or false. Give reasons.
B ⊇ C


Let M = {letters of the word REAL} and N = {letters of the word LARE}. Write sets M and N in roster form and then state whether;
M ⊆ N is true.


Write two sets A and B such that A ⊆ B and B ⊆ A.State the relationship between sets A and B.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×