Consider the following sets: P = {x | x is a parallelogram} C = {x | x is a circle} K = {x | x is a kite} R = {x | x is a rectangle} T = {x | x is a trapezoid} Which set is a subset of set P? C K R T
Answers
set R is a subset of set P
Given
- P = {x | x is a parallelogram}
- C = {x | x is a circle}
- K = {x | x is a kite}
- R = {x | x is a rectangle}
- T = {x | x is a trapezoid}
To find
- a set is subset of set P
Solution
we are provided with four sets and our asked to find the subset of a set P
we know that for a set B to be a subset of a set A , it is necessary that all the elephants of set B should be in set A.
set C being a set of circle cannot be said as a parallelogram it shall not be a subset of the latter
set K , a set of all kites, we here should immediately remember the property of kite that a kite may not mandatory be a parallelogram as the sides of a kite may not be parallel, therefore this is also not a subset of P
set R , set of all rectangles, since all the rectangles hold the property of parallelogram we can say that every rectangle is a parallelogram ,therefore set R is a subset of set P
set T, set of trapezoid, for a trapezoid a pair of opposite sides are parallel but the remaining pair of sides may not be parallel, therefore, it does not hold the property of a parallelogram and is not a parallelogram. Set T is also not a subset of P
Answer:
r is a subset of p
Step-by-step explanation:
GIVEN - P ={xl x is a parallelogram}
C= { x| x is a circle}
K= { x| x is a kite}
R= { x| is a rectangle}
T= { x| is a trapezoid}
to FIND- subset of set p
solution- we all know that for a subset the all of elements of A should be in B so here in this question R is a subset of p because in rectangle both sides are equal and in parallelogram both sides are equal so r is a subset of p
FINAL ANSWER- r is a subset of p
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