Question

Find the complement of the set given that

U = x isin.gif I and −3 ≤ x ≤ 9.

(Enter your answers as a comma-separated list.)

x

Answer 1

`\overline{X} = \{-3, -2, -1, 7, 8, 9 \}`

Explanation:

The objective is to find the complement of the set given that

`U = \{ x| x\in \mathbb{I} \; \wedge \; -3 \leq x \leq 9 \}\\`

`X = \{x| x \in \mathbb{W} \;\wedge \; x<7 \}`

The set
`U`, written comma-separated equals

`U = \{ -3, -2, -1, 0, 1 , 2, 3, 4, 5 , 6, 7, 8, 9 \}`

and the set
`X` is

`X = \{ 0, 1, 2, 3, 4, 5, 6 \}`.

We need to find all elements from the set
`U` that are not in the set
`X`.

Comparing the elements of this two sets yields

`\overline{X} = \{-3, -2, -1, 7, 8, 9 \}`

where
`\overline{X}` denotes the complement of the set
`X`.