Coupon Accepted Successfully!


Ordered Pairs

By an ordered pair we mean a pair of objects (a, b) in which the position of each object is important.

Thus, the ordered pairs (Δ, 3) and (3, Δ) are different. In the ordered pair (a, b); a is called the first component (or the first coordinate) and b is called the second component (or the second coordinate).

Two ordered pairs (a, b) and (c, d) are equal if a = c and b = d.
Thus, (a, b) = (c, d) a = c, b = d.

  1. Two components of an ordered pair can be identical. That is, (a, a) is regarded as ordered pair.
  2. In a set {a, b} the order in which the elements occur is immaterial. That is, the sets {a, b} and {b, a} are equal but the ordered pairs (a, b) and (b, a) are distinct.
Find the values of a and b so that (a + 3, 5) = (2, b + 5).

By definition
(a + 3, 5) = (2, b + 5) a + 3 = 2, 5 = b + 5 a = -1, b = 0.

Test Your Skills Now!
Take a Quiz now
Reviewer Name