Tag: cartesian product of sets

Let a relation $R$ be defined by $R=\left {(4,5), (1,4), (4,6), (7,6), (3,7)\right }$. The relation $R^{-1}\circ R$ is given by

Given $(a - 2, b + 3) = (6, 8)$, are equal ordered pair. Find the value of $a$ and $b$.

What is the second component of an ordered pair $(3, -0.2)$?

What is the first component of an ordered pair $(1, -1)$?

Ordered pairs $(x, y)$ and $(-1, -1)$ are equal if $y = -1$ and $x =$ _____

Ordered pairs $(x, y)$ and $(3, 6)$ are equal if $x = 3$ and $y = ?$

If $A \times B = {(3, a), (3, -1), (3, 0), (5, a), (5, -1), (5, 0)}$, find $A$.

$(x, y)$ and $(p, q)$ are two ordered pairs. Find the values of $x$ and $p$, if $(3x - 1, 9) = (11, p + 2)$

 $(x, y)$ and $(p, q)$ are two ordered pairs. Find the values of $p$ and $y$, if $(4y + 5, 3p - 1) = (25, p + 1)$

If $A = {2, 3}$ and $B = {1, 2}$, find $A \times B$.