Let A = {1, 2, 3, 4} and R = {(a, b) : a Divides b}. Write R Explicitly Let \(A=\{1,2,3,4\}\) and \(R=\{(a,b): a \text{ divides } b\}\). Write \(R\) Explicitly Question Let \[ A=\{1,2,3,4\} \] and \[ R=\{(a,b): a\in A,\ b\in A,\ a \text{ divides } b\}. \] Write \(R\) explicitly. Solution Given: \[ […]
Let A = {1, 2, 3, 4} and R = {(a, b) : a∈ A, b∈ A, a divides b}. Write R explicitly. Read More »
If n(A)=3 and n(B)=2, Find Sets A and B from Ordered Pairs in A×B If \(n(A)=3\) and \(n(B)=2\), Find Sets \(A\) and \(B\) from Ordered Pairs in \(A\times B\) Question Let \(A\) and \(B\) be two sets such that \[ n(A)=3 \] and \[ n(B)=2. \] If \[ (x,1),\ (y,2),\ (z,1) \] are in \[
Show That A×B and B×A Have a Common Element iff A and B Have a Common Element Show That the Sets \(A\times B\) and \(B\times A\) Have an Element in Common iff the Sets \(A\) and \(B\) Have an Element in Common Question Let \(A\) and \(B\) be two sets. Show that the sets \[
If n(A)=5 and n(B)=4 with 3 Common Elements, Find n(A×B) and n{(A×B) ∩ (B×A)} If A and B Have 3 Common Elements, n(A)=5 and n(B)=4, Find \(n(A\times B)\) and \(n\{(A\times B)\cap(B\times A)\}\) Question If \(A\) and \(B\) are two sets having 3 elements in common, \[ n(A)=5 \] and \[ n(B)=4, \] find: \[ n(A\times
If A = {1, 2, 3} and B = {2, 4}, Find A×B, B×A, A×A×A, B×B and (A×B) ∩ (B×A) If \(A=\{1,2,3\}\) and \(B=\{2,4\}\), Find \(A\times B\), \(B\times A\), \(A\times A\times A\), \(B\times B\) and \((A\times B)\cap(B\times A)\) Question If \[ A=\{1,2,3\} \] and \[ B=\{2,4\}, \] find: \[ A\times B,\quad B\times A,\quad A\times A\times
If A = {1, 2, 3] and B = {2, 4}, what are A×B, B×A, A×A×A, B×B and (A×B)∩(B×A)? Read More »
Let A = {1, 2, 3} and B = {3, 4}. Find A×B and Show It Graphically Let \(A=\{1,2,3\}\) and \(B=\{3,4\}\). Find \(A\times B\) and Show It Graphically Question Let \[ A=\{1,2,3\} \] and \[ B=\{3,4\}. \] Find \[ A\times B \] and show it graphically. Solution The Cartesian product \(A\times B\) is the set
let A = {1, 2, 3} and B = {3, 4}. Find A×B and shows it graphically. Read More »
If A = {1, 2} and B = {1, 3}, Find A×B and B×A If \(A=\{1,2\}\) and \(B=\{1,3\}\), Find \(A\times B\) and \(B\times A\) Question If \[ A=\{1,2\} \] and \[ B=\{1,3\}, \] find \[ A\times B \] and \[ B\times A. \] Solution The Cartesian product \(A\times B\) is the set of all ordered
If A = {1, 2} and B = {1, 3}, find A×B and B×A. Read More »
If a ∈ {2, 4, 6, 9} and b ∈ {4, 6, 18, 27}, Form Ordered Pairs (a, b) Such That a Divides b and a < b If \(a \in \{2,4,6,9\}\) and \(b \in \{4,6,18,27\}\), Form the Set of Ordered Pairs \((a,b)\) Such That \(a\) Divides \(b\) and \(a<b\) Question If \[ a \in
If a ∈ {-1, 2, 3, 4, 5} and b ∈ {0, 3, 6}, Write Ordered Pairs (a, b) Such That a + b = 5 If \(a \in \{-1,2,3,4,5\}\) and \(b \in \{0,3,6\}\), Write the Set of All Ordered Pairs \((a,b)\) Such That \(a+b=5\) Question If \[ a \in \{-1,2,3,4,5\} \] and \[ b
If Ordered Pairs (x, −1) and (5, y) Belong to the Set {(a, b) : b = 2a − 3}, Find x and y If the Ordered Pairs \( (x,-1) \) and \( (5,y) \) Belong to the Set \( \{(a,b): b=2a-3\} \), Find \(x\) and \(y\) Question If the ordered pairs \[ (x,-1) \]