# In Exercises 6 through 9, write the set in the form {x|P(x)}, where P(x) is a property that describes the elements of the set. 6. {2, 4, 6, 8, 10} 7.

In Exercises 6 through 9, write the set in the form $$\{x|P(x)\}$$, where P(x) is a property that describes the elements of the set.
6. $$\{2, 4, 6, 8, 10\}$$

7. $$\{a, e, i, o, u\}$$
8. $$\{1, 8, 27, 64, 125\}$$
9. $$\{-2, -1, 0, 1, 2\}$$

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Elberte

Exercise 6 $$\{2,4,6,8,10\}$$
We note that the set contain all even integers from 1 to 10, thus P(x) is then the property of an even integer from 1 to 10. $$\{x|x$$ is an even integer and $$\displaystyle{1}\le{x}\le{10}$$}
Exercise 7 $$\{a,e,i,o,u,w\}$$
We note that the set contain all vowels, thus P(x) is then the property of a letter in the alphabet that is a vowel. $$\{x|x$$ is a letter in the alphabet and x is a vowel}
Exercise 8 $$\{1,8,27,64,125\}$$
We note that the set contain cubes of the integers 1 to 5 $$\displaystyle{\left({1}^{{3}}={1},{2}^{{3}}={8},{3}^{{3}}={27},{4}^{{3}}={64}{\quad\text{and}\quad}{5}^{{3}}={125}\right)}$$, thus P(x) is then the property that x is a cube of an integer from 1 to 5. $$\displaystyle{\left\lbrace{x}^{{3}}{\mid}{x}\right.}$$ is an integer and $$\displaystyle{1}\le{x}\le{5}\rbrace$$
Exercise 9 $$\{-2,-1,0,1,2\}$$
We note that the set contain all integers from -2 to 2, thus P(x) is then the property of an integer from -2 to 2. $$\{x|x$$ is an integer and $$\displaystyle-{2}\le{x}\le{2}\rbrace$$