#### Topic Content:

- Solution to Set Operations

### Example 2.2.1:

List the members of the set**i. **{ y : 1 < y ≤ 6, y ϵ N}**ii. **{ y : y > -5, y ϵ Z^{+}}**iii. **{y : y > 8, y ϵ Z^{–}}**iv. **{y : 3 < y < 8, y ϵ N}**v.** {y : y is a prime factor of 30 and 42}

**Solution**

**i.** { y : 1 < y ≤ 6, y ϵ N}

This means that y is greater than 1 and less than or equal to 6.

Therefore,

{2, 3, 4, 5, 6}

(Note that element 1 is not included, however, element 6 is included i.e. when the inequality sign comes with an equality sign the element is included and if otherwise it is not included).

**ii. **{ y : y > -5, y ϵ Z^{+}}

(1, 2, 3, 4, 5, …} y is positive numbers greater than -5

(Note that zero is an integer, however, it is not included because zero is neither positive nor negative. Also -4… -1 are not included because they are not members of Z^{+}.

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