Question

1. (a) Define ordered pair with an example.
(b) Under what condition the two ordered paris (w, x) and (y, z) are equal​

Answer 1

Answer:

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Answer 2

Answer:

a)In mathematics, an ordered pair is a pair of objects. The order in which the objects appear in the pair is significant: the ordered pair is different from the ordered pair unless a = b. Ordered pairs are also called 2-tuples, or sequences of length 2

b)The ordered pair (2, 5) is not equal to ordered pair (3, 2) i.e., (2, 5) ≠ (5, 2). Thus, in a pair, the order of elements is important. An ordered pair consists of two elements that are written in the fixed order. So, we define an ordered pair as:

• The pair of elements that occur in particular order and are enclosed in brackets are called a set of ordered pairs.

• If ‘a’ and ‘b’ are two elements, then the two different pairs are (a, b); (b, a) and (a, b); (b, a).

• In an ordered pair (a, b), a is called the first component and b is called the second component.

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