Advertisements
Advertisements
Question
Write the subset relations between the following sets.
Y = set of all rhombuses.
T = set of all parallelograms.
Solution
- Rhombus, squares, parallelograms and rectangles all are quadrilateral.
∴ Y ⊆ X, S ⊆ X, T ⊆ X, V ⊆ X - Every square is a rhombus, parallelogram and rectangle.
∴ S ⊆ Y, S ⊆ T, S ⊆ V - Every rhombus and rectangle is a parallelogram.
∴ Y ⊆ T, V ⊆ T
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?
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
If C is the set of letters in the word “cooler”, find: Set C
Find the subset of the following set:
C = {x : x ∈ W, x ≤ 2}
Find the subset of the following set:
{p : p is a letter in the word ‘poor’}
Given, A = {Triangles}, B = {Isosceles triangles}, C = {Equilateral triangles}. 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.
A ⊇ B ⊇ D
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
N ⊆ M is true.
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.
