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.

Wribreeminsl

Wribreeminsl

Answered question

2021-05-08

In Exercises 1 through 4, write the set in the form {x|P(x)}, where P(x) is a property that describes the elements of the set.
1. {2,4,6,8,10}

2. {a,e,i,o,u}
3. {1,8,27,64,125}
4. {2,1,0,1,2}

Answer & Explanation

Elberte

Elberte

Skilled2021-05-09Added 95 answers

1. {2,4,6,8,10}
We note that the set includes all even integers from 1 to 10, hence P(x) is then the property of an even integer from 1 to 10. {x|x is an even integer and 1x10}
2. {a,e,i,o,u,w}
We note that the set contain all vowels, hence 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}
3. {1,8,27,64,125}
We observe that the set includes cubes of the integers 1 to 5.(13=1,23=8,33=27,43=64 and 53=125), hence P(x) is then the property that x is a cube of an integer from 1 to 5. {x3x  is an integer and 1x5}
4. {2,1,0,1,2}
We note that the set contains all integers from -2 to 2, hence P(x) is then the property of an integer from -2 to 2. {x|x is an integer and 2x2}

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