Which of the following sets is a universal set for the other four sets? (a) The set of even natural numbers

(b) The set of odd natural numbers

(c) The set of natural numbers

(d) The set of negative numbers

(e) The set of integers

The set of integers is a universal set for the other four sets ⇒ (e)

Step-by-step explanation:

The set of even natural numbers is {2, 4, 6, 8, 10, 12, }

The set of odd natural numbers is {1, 3, 5, 7, 9, 11, 13, }

The set of natural numbers is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, }

The set of negative numbers is {-1, -2, -3, -4, -5, -6, }

The set of integers is {, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, }

∵ The set of integers contains all even natural numbers, all the odd

   natural numbers

∴ It contains all the natural numbers

∵ The set of integers contains all the negative numbers

∴ The set of integers contains the other four sets

∴ The set of integers is a universal set for the other four sets

step-by-step explanation:

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