Let R={y,p}, S={z,p,u}, and T={r,y,p,u,z}, For each of the following questions, enter T if the assertion is true, and enter F if the assertion is false. 1. R⊂S ? 2. R⊂T ? 3. S⊂T ? 4. R∪S⊂T ?

Q: If A × B ={(p, q),(p, r), (m, q), (m, r)},     find A and B.

A: A will be the set of the first ordinates  And B is the set of the second ordinates

Q: (2c) Prove or disprove the following statement: “ A UBCANB for any A and B "

A:

Q: Give an example where A, B ⊆ X and |A| = |B| but |X ― A| ≠ |X ― B|.

A: This cannot be possible if we take X to be finite set so we have to think an example where X is…

Q: Find the value of r for which r -B V= -9 || is in the set 5 0 0 -3 5 0 HOO 2 3 -2 2 -3 S = span- r =

A:

Q: Next question hearts? An experiment consists of dealing 4 cards from a standard 52-card deck. What…

A: no.of heart cards=13total no.of cards=52

Q: Prove.

A:

Q: Suppose A = if A and AT have different left null spaces, then 3. O a. a=0 O b. a=1.5 O c. a= 6 O d.…

A: We have to solve given problem:

Q: Let (pos S) be the set of all positive combinations of the points of S. Which of the following…

A: We need to find out which statements are correct. To do that, we shall independently analyze both…

Q: Let D = {-2, -1, 0, 1}. Let E = {0, 1, 2, 3}.

A: Answer

Q: If |ū| = 4, |v|=5, |ū-v=6, determine |ū+ v.

A:

Q: Suppose ū = (0, -3, –2) and ū = (-1, –4, –5). Then: u + v= u – v= v – u= 5u= 2u – 4ū=

A: Givenu¯ =0,-3,-2v¯ =-1,-4,-5

Q: Let A = {1,2,3} and let R= {(1,1), (2, 2), (3, 3), (1, 2), (2, 1), (3, 2)} C A x A. In each case,…

A:

Q: 2. Let A = and B = al. Show that det(A + B) = det A + det B if and only if a + d = 0.

A:

Q: Let U = {x | x is the name of one of the months in a year} J = {x | x  U and x begins with the…

A: Given that U = {x | x is the name of one of the months in a year} J = {x | x U and x begins with the…

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

A:

Q: Let P(C|D) = 0.2, P(D) = 0.3 and P(C|D) = 0.4, then C and D are Select one: a. disjoint b. not…

A:

Q: Let a,b be two different points in R^n one. We notice that d=(a,b)>0 (why is that so ?). Prove that…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.