Question

The set of 5 numbers has the following properties. a) if p is in s then 1/p is in s. b) if both p and q are in s, then so p+q is 5 in s?​

Answer 1

10/2

Step-by-step explanation:

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Answer 2

The set "s" is comprised of the numbers {2, 3, 1/2, 1/3}

To Find:

• A set of 5 numbers is introduced with two properties:
• a) If p is in the set, then 1/p is also in the set.
• b) If both p and q are in the set, then the sum p + q must be equal to 5.

Given:

• The numbers in the set

Solution:

The set of 5 numbers with properties a) and b) mentioned in the question is referred to as a special set, "s". The properties stated are as follows:

If a number "p" is in the set "s", then 1/p is also in the set "s".

If both numbers "p" and "q" are in the set "s", then the sum "p + q" must be equal to 5.

To determine the numbers in this set, we must find numbers that satisfy both conditions a) and b). Since the sum of "p + q" must always be equal to 5, the only possible values for "p" and "q" are 2 and 3, or vice versa. It can be observed that 2 and 3 are in the set "s". Also, since the property a) states that the reciprocal of any number in the set must also be in the set, the reciprocals of 2 and 3, 1/2 and 1/3, are also in the set.

Thus,the set "s" is comprised of the numbers {2, 3, 1/2, 1/3}

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